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We present the results of photometric CCD observations of the magneticcataclysmic variable V405 Aurigae (RX J0558.0+5353 = 1RXS J055800.7+535358)obtained using different instruments. We analysed variability of the spinperiod of the white dwarf in the V405 Aur (RX J0558.0+5353) system using ourobservations and previously published maxima timings. The spin period of thesystem in 2010-2012 is $P=545.4558163(94)$s. As we have gaps in observationaldata, we present 2 hypotheses of the spin period variability of this system - acubic ephemeris which may be interpreted by a precession of the magnetic whitedwarf or a periodic change with a period of 6.2 years and semi-amplitude of$17.2\pm1.8$ sec. The periodic variations may be interpreted by a light-timeeffect caused by a low-mass star ($M_3\ge0.09M_\odot$). In this case, thesystem belongs to a rare class of cataclysmic variables with a third body.

Variability of the Spin Period of the White Dwarf in the Intermediate Polar V405 Aur: Low-Mass Third Body or Precession ?