460756961280 has 1536 divisors, whose sum is σ = 2133037670400. Its totient is φ = 91481702400.

The previous prime is 460756961279. The next prime is 460756961309. The reversal of 460756961280 is 82169657064.

460756961280 is a `hidden beast` number, since 4 + 60 + 7 + 569 + 6 + 12 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 489645610 + ... + 489646550.

It is an arithmetic number, because the mean of its divisors is an integer number (1388696400).

Almost surely, 2^460756961280 is an apocalyptic number.

460756961280 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 460756961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066518835200).

460756961280 is an abundant number, since it is smaller than the sum of its proper divisors (1672280709120).

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

460756961280 is a wasteful number, since it uses less digits than its factorization.

460756961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 460756961280 in words is "four hundred sixty billion, seven hundred fifty-six million, nine hundred sixty-one thousand, two hundred eighty".