Assuming overcLocked? :lol: Overcooked is never a good sign (electrically or otherwise).
Anyway, as for Arkham Knight, in short; yes.
The minimum requirements are a Phenom II X4 965 or 15-750, 6GB RAM and a GTX 660.
What resolution do you want to play at?
While you exceed the minimum requirements, in fairness, it's not by a lot.
The PC port of AK is quite demanding from a GPU standpoint, and a 660 is the minimum requirement (the RX460 is a bit faster).
So, with that, I'd expect low-medium settings (1080p) to be achieveable with playable FPS..... and with any luck, you might be able to do a bit better than that (either in FPS or preset)