  Two multiplicative anomalies are evaluated for the determinant of the
conformal higher spin propagating operator on spheres given by Tseytlin. One
holds for the decomposition of the higher derivative product into its
individual second order factors and the other applies to its complete linear
factorisation. Using this last factorisation, I also calculate the determinant
explicitly in terms of the Riemann zeta function, for both even and odd
dimensions. In the latter case there is no anomaly of course. The conformal
anomaly is also found for arbitrary spin and dimension.
