456957479160 has 1920 divisors, whose sum is σ = 2080091059200. Its totient is φ = 88885278720.

The previous prime is 456957479119. The next prime is 456957479197. The reversal of 456957479160 is 61974759654.

456957479160 is a `hidden beast` number, since 4 + 56 + 9 + 57 + 479 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1686189825 + ... + 1686190095.

It is an arithmetic number, because the mean of its divisors is an integer number (1083380760).

Almost surely, 2^456957479160 is an apocalyptic number.

456957479160 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 456957479160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040045529600).

456957479160 is an abundant number, since it is smaller than the sum of its proper divisors (1623133580040).

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

456957479160 is a wasteful number, since it uses less digits than its factorization.

456957479160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 456957479160 in words is "four hundred fifty-six billion, nine hundred fifty-seven million, four hundred seventy-nine thousand, one hundred sixty".