GPU power is 65W and Minimum Recommended System Power is 300w
But will a generic 600w handle it all?
Depends on the quality of your PSU. The quality of generic PSU's vary wildly. Some are just unbranded exact replicas of name brand PSU's (made by the same Chinese companies that supply to the big boys) yet, others are absolute junks at best and fire hazards at worst.
It should however easily support a GT440, if it's good enough.
As for the cpu, what's an Athlon64 X2 270? You mean AthlonII X4 270, is it?
Look, I think your PC is an OEM build (branded PC) and not a home built one, 'coz the parts you've listed are all OEM parts. If so, then obviously, everything goes swimmingly with each other and you need not worry.