I also have the 4870 (512 ver), C2d OCed to 3.2 GHz, 4 HDDs, and 2 DVD burners and my MAX power consumption is only approx 300 Watts. Any more it is as TheViper said - it is more about the Power available on the +12 V Rails - AND the quality of the PSU.
Concur with kidhorn on using two PSUs in one computer - IT is OK as long as you DO NOT connect PSU1 +12 V1 to the same point as PSU2 +12 V (Same same for other Voltages).
Ex: If you had two power connectors on a GPU card, and you wanted to connect PSU1 to one connector and PSU2 to the other you would need to verify that they are isolated from one another (ie ohms check +12 V on connector 1 to +12 V on connector 2. Grounds pins are OK. (Never parallel PSUs)