460204672 has 32 divisors (see below), whose sum is σ = 946396800. Its totient is φ = 222677760.

The previous prime is 460204669. The next prime is 460204691. The reversal of 460204672 is 276402064.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (31).

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 3 ways as a sum of consecutive naturals, for example, 54022 + ... + 61957.

It is an arithmetic number, because the mean of its divisors is an integer number (29574900).

Almost surely, 2^460204672 is an apocalyptic number.

It is an amenable number.

460204672 is an abundant number, since it is smaller than the sum of its proper divisors (486192128).

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

460204672 is a wasteful number, since it uses less digits than its factorization.

460204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116024 (or 116012 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 460204672 is about 21452.3814994979. The cubic root of 460204672 is about 772.0587353631.

The spelling of 460204672 in words is "four hundred sixty million, two hundred four thousand, six hundred seventy-two".