460731823680 has 112 divisors (see below), whose sum is σ = 1465267478400. Its totient is φ = 122656555008.

The previous prime is 460731823667. The next prime is 460731823703. The reversal of 460731823680 is 86328137064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174432 + ... + 975648.

Almost surely, 2^460731823680 is an apocalyptic number.

460731823680 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 460731823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732633739200).

460731823680 is an abundant number, since it is smaller than the sum of its proper divisors (1004535654720).

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

460731823680 is a wasteful number, since it uses less digits than its factorization.

460731823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801836 (or 801826 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 460731823680 in words is "four hundred sixty billion, seven hundred thirty-one million, eight hundred twenty-three thousand, six hundred eighty".