460455906 has 32 divisors (see below), whose sum is σ = 963900288. Its totient is φ = 146361600.

The previous prime is 460455901. The next prime is 460455917. The reversal of 460455906 is 609554064.

It is not an unprimeable number, because it can be changed into a prime (460455901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41556 + ... + 51456.

It is an arithmetic number, because the mean of its divisors is an integer number (30121884).

Almost surely, 2^460455906 is an apocalyptic number.

460455906 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

460455906 is an abundant number, since it is smaller than the sum of its proper divisors (503444382).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460455906 is a wasteful number, since it uses less digits than its factorization.

460455906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10266.

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 460455906 is about 21458.2363208163. The cubic root of 460455906 is about 772.1992033839.

The spelling of 460455906 in words is "four hundred sixty million, four hundred fifty-five thousand, nine hundred six".