Depends on the box, etc etc.
Also depends on if you mean actually overpowering, or just using a "larger than recommended" amplifier. Because many people will, for example, use a 750w amp to power a 500w RMS subwoofer....but then they say "I just set my gain a little lower", which in turn means the amplifier isn't outputting full power, and hence they are not actually overpowering their subwoofer at all.
Likewise, you surely wouldn't want to overpower your subwoofer when running a large sealed box or running them IB.
Also depends on how the power handling was rated. Is it just the thermal capacity of the coil? Or some other method?
See, this can become quite an involved question.....LOL //content.invisioncic.com/y282845/emoticons/smile.gif.1ebc41e1811405b213edfc4622c41e27.gif