The current you feed the diode is in milliamps, the light output of the diode is rated in milliwatts. You have to put more milliamps into the diode to get 250mW out. For a 250mW diode, thats probably around 300mA. For a 405nm diode, you'd want around 4 volts.
Though like Jerry said, all diodes are different, so 300mA may be too much, or it might not even be a 250mW diode.