diff --git a/mypy/checker.py b/mypy/checker.py
index dbd74d5a8132..b8b85be3fbe8 100644
--- a/mypy/checker.py
+++ b/mypy/checker.py
@@ -641,7 +641,9 @@ def _visit_overloaded_func_def(self, defn: OverloadedFuncDef) -> None:
         if defn.impl:
             defn.impl.accept(self)
         if defn.info:
-            self.check_method_override(defn)
+            found_base_method = self.check_method_override(defn)
+            if defn.is_explicit_override and found_base_method is False:
+                self.msg.no_overridable_method(defn.name, defn)
             self.check_inplace_operator_method(defn)
         if not defn.is_property:
             self.check_overlapping_overloads(defn)
diff --git a/mypy/nodes.py b/mypy/nodes.py
index 98af6145edc3..414b5c190aa0 100644
--- a/mypy/nodes.py
+++ b/mypy/nodes.py
@@ -512,6 +512,7 @@ class FuncBase(Node):
         "is_class",  # Uses "@classmethod" (explicit or implicit)
         "is_static",  # Uses "@staticmethod"
         "is_final",  # Uses "@final"
+        "is_explicit_override",  # Uses "@override"
         "_fullname",
     )
 
@@ -529,6 +530,7 @@ def __init__(self) -> None:
         self.is_class = False
         self.is_static = False
         self.is_final = False
+        self.is_explicit_override = False
         # Name with module prefix
         self._fullname = ""
 
@@ -747,7 +749,6 @@ class FuncDef(FuncItem, SymbolNode, Statement):
         "is_mypy_only",
         # Present only when a function is decorated with @typing.datasclass_transform or similar
         "dataclass_transform_spec",
-        "is_explicit_override",
     )
 
     __match_args__ = ("name", "arguments", "type", "body")
@@ -776,8 +777,6 @@ def __init__(
         # Definitions that appear in if TYPE_CHECKING are marked with this flag.
         self.is_mypy_only = False
         self.dataclass_transform_spec: DataclassTransformSpec | None = None
-        # Decorated with @override
-        self.is_explicit_override = False
 
     @property
     def name(self) -> str:
diff --git a/mypy/semanal.py b/mypy/semanal.py
index 08c26170a952..70bd876af46e 100644
--- a/mypy/semanal.py
+++ b/mypy/semanal.py
@@ -1197,6 +1197,9 @@ def analyze_overload_sigs_and_impl(
                     types.append(callable)
                     if item.var.is_property:
                         self.fail("An overload can not be a property", item)
+                # If any item was decorated with `@override`, the whole overload
+                # becomes an explicit override.
+                defn.is_explicit_override |= item.func.is_explicit_override
             elif isinstance(item, FuncDef):
                 if i == len(defn.items) - 1 and not self.is_stub_file:
                     impl = item
diff --git a/test-data/unit/check-functions.test b/test-data/unit/check-functions.test
index b9baf9e4cf80..4bad19af539c 100644
--- a/test-data/unit/check-functions.test
+++ b/test-data/unit/check-functions.test
@@ -2852,6 +2852,40 @@ class D(A):
 [builtins fixtures/property.pyi]
 [typing fixtures/typing-full.pyi]
 
+[case explicitOverrideSettableProperty]
+# flags: --python-version 3.12
+from typing import override
+
+class A:
+    @property
+    def f(self) -> str: pass
+
+    @f.setter
+    def f(self, value: str) -> None: pass
+
+class B(A):
+    @property  # E: Read-only property cannot override read-write property
+    @override
+    def f(self) -> str: pass
+
+class C(A):
+    @override
+    @property
+    def f(self) -> str: pass
+
+    @f.setter
+    def f(self, value: str) -> None: pass
+
+class D(A):
+    @override  # E: Signature of "f" incompatible with supertype "A"
+    @property
+    def f(self) -> int: pass
+
+    @f.setter
+    def f(self, value: int) -> None: pass
+[builtins fixtures/property.pyi]
+[typing fixtures/typing-full.pyi]
+
 [case invalidExplicitOverride]
 # flags: --python-version 3.12
 from typing import override
@@ -2896,3 +2930,72 @@ class B(A):
     def f2(self, x: int) -> str: pass  # E: Method "f2" is marked as an override, but no base method was found with this name
 [typing fixtures/typing-full.pyi]
 [builtins fixtures/tuple.pyi]
+
+[case explicitOverrideOverloads]
+# flags: --python-version 3.12
+from typing import overload, override
+
+class A:
+    def f(self, x: int) -> str: pass
+
+class B(A):
+    @overload  # E: Method "f2" is marked as an override, but no base method was found with this name
+    def f2(self, x: int) -> str: pass
+    @overload
+    def f2(self, x: str) -> str: pass
+    @override
+    def f2(self, x: int | str) -> str: pass
+[typing fixtures/typing-full.pyi]
+[builtins fixtures/tuple.pyi]
+
+[case explicitOverrideNotOnOverloadsImplementation]
+# flags: --python-version 3.12
+from typing import overload, override
+
+class A:
+    def f(self, x: int) -> str: pass
+
+class B(A):
+    @overload  # E: Method "f2" is marked as an override, but no base method was found with this name
+    def f2(self, x: int) -> str: pass
+    @override
+    @overload
+    def f2(self, x: str) -> str: pass
+    def f2(self, x: int | str) -> str: pass
+
+class C(A):
+    @overload
+    def f(self, y: int) -> str: pass
+    @override
+    @overload
+    def f(self, y: str) -> str: pass
+    def f(self, y: int | str) -> str: pass
+[typing fixtures/typing-full.pyi]
+[builtins fixtures/tuple.pyi]
+
+[case explicitOverrideOnMultipleOverloads]
+# flags: --python-version 3.12
+from typing import overload, override
+
+class A:
+    def f(self, x: int) -> str: pass
+
+class B(A):
+    @override  # E: Method "f2" is marked as an override, but no base method was found with this name
+    @overload
+    def f2(self, x: int) -> str: pass
+    @override
+    @overload
+    def f2(self, x: str) -> str: pass
+    def f2(self, x: int | str) -> str: pass
+
+class C(A):
+    @overload
+    def f(self, y: int) -> str: pass
+    @override
+    @overload
+    def f(self, y: str) -> str: pass
+    @override
+    def f(self, y: int | str) -> str: pass
+[typing fixtures/typing-full.pyi]
+[builtins fixtures/tuple.pyi]