460501165920 has 192 divisors, whose sum is σ = 1532196255744. Its totient is φ = 116075151360.

The previous prime is 460501165907. The next prime is 460501165931. The reversal of 460501165920 is 29561105064.

It is a super-2 number, since 2×460501165920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 279984 + ... + 999696.

It is an arithmetic number, because the mean of its divisors is an integer number (7980188832).

Almost surely, 2^460501165920 is an apocalyptic number.

460501165920 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 460501165920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766098127872).

460501165920 is an abundant number, since it is smaller than the sum of its proper divisors (1071695089824).

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

460501165920 is a wasteful number, since it uses less digits than its factorization.

460501165920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719805 (or 719797 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 460501165920 in words is "four hundred sixty billion, five hundred one million, one hundred sixty-five thousand, nine hundred twenty".