No, it is quite the opposite!
ISO 1600 with CPL means ISO 6400.
Or, as per your exapmle, 400 with CPL equals ISO 1600.
Polarizing filter doesn't not affect the ISO (which is the amplification of light). It reduces how much light hits the sensor for a normal exposure, but it will not make your shot less or more noisey.
Polarizing filters affect the exposure not the image quality/noise.


