Check the specs of the resistor carefully. Most are not rated for pulsed overloads of x10 the normal continuous rating. A few expensive ones are, for one second.
The highest voltage you are likely to meet in most PSUs is 350V, with high mains input and either a simple rectifier or in North America, a voltage doubler.
(V^2)/R gives you the instantaneous peak power, so to keep it under 500W you need to use a resistor of at least 245 ohms. The time constant of 270R with 1000uF (which is many times bigger than a typical SMPSU input cap) is 0.27, and, starting from 350V the cap will be touch-safe after 3 time constants, and nearly totally discharged within 1 second.
However, that's one big expensive clumsy resistor, and unless you work on very large PSUs frequently, you don't need it to discharge that quickly. 1.8K 7W at the same x10 peak overload will discharge more typical reservoir caps of up to 200uF in about a second.
Check your discharger resistance before and after use!