460872200 has 48 divisors (see below), whose sum is σ = 1073086080. Its totient is φ = 184080960.

The previous prime is 460872197. The next prime is 460872233. The reversal of 460872200 is 2278064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192209 + ... + 194591.

It is an arithmetic number, because the mean of its divisors is an integer number (22355960).

Almost surely, 2^460872200 is an apocalyptic number.

460872200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460872200 is an abundant number, since it is smaller than the sum of its proper divisors (612213880).

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

460872200 is a wasteful number, since it uses less digits than its factorization.

460872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 460872200 is about 21467.9342275870. The cubic root of 460872200 is about 772.4318460486.

It can be divided in two parts, 4608 and 72200, that multiplied together give a square (332697600 = 18240²).

The spelling of 460872200 in words is "four hundred sixty million, eight hundred seventy-two thousand, two hundred".