460372680 has 128 divisors (see below), whose sum is σ = 1587600000. Its totient is φ = 118524672.

The previous prime is 460372643. The next prime is 460372711. The reversal of 460372680 is 86273064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23971 + ... + 38669.

It is an arithmetic number, because the mean of its divisors is an integer number (12403125).

Almost surely, 2^460372680 is an apocalyptic number.

460372680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460372680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793800000).

460372680 is an abundant number, since it is smaller than the sum of its proper divisors (1127227320).

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

460372680 is a wasteful number, since it uses less digits than its factorization.

460372680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14748 (or 14738 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 460372680 is about 21456.2969778105. The cubic root of 460372680 is about 772.1526763640.

The spelling of 460372680 in words is "four hundred sixty million, three hundred seventy-two thousand, six hundred eighty".