Isnt it a bad idea to run your psu at near or full load?
Akin to redlining your car all day?
And yes, a decent 500w unit will run the 4870 fine all day.
Lets put it this way. Power supplies are tested close to their max wattage vs efficiency. If you run it to max the only thing that you will notice increased heat and noise.
As far is it causing a strain, if a power supply failed due to it not being able to operate at max wattage why would you want that power supply anyways? In my eyes it is crap.
So the answer is no it is not a bad idea.