Selym Villalba Chavez The Magnetic Moment of the Photon We consider the effect of the photon radiative correction on the vacuum energy in a superstrong magnetic field. A (magnetic field independent) photon anomalous magnetic moment is derived, and its connection with the classical angular momentum of the radiation field is established. The magnetic moment turns out to be perpendicular to the photon's propagation direction, and does depend on its transverse momentum component (with regard the external field). Its existence suggests that the electromagnetic radiation is a source of magnetization to the whole vacuum and thus its electron-positron zero-point energy is slightly modified. The corresponding contribution to the vacuum magnetization density is determined for both the low and high energy limits of the vacuum polarization tensor (at the lowest Landau level). These contributions depend non-linearly on the external field.