456534384960 has 448 divisors, whose sum is σ = 1532996720640. Its totient is φ = 114985328640.

The previous prime is 456534384953. The next prime is 456534384961. The reversal of 456534384960 is 69483435654.

It is a self number, because there is not a number n which added to its sum of digits gives 456534384960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456534384961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155335171 + ... + 155338109.

It is an arithmetic number, because the mean of its divisors is an integer number (3421867680).

Almost surely, 2^456534384960 is an apocalyptic number.

456534384960 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 456534384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766498360320).

456534384960 is an abundant number, since it is smaller than the sum of its proper divisors (1076462335680).

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

456534384960 is a wasteful number, since it uses less digits than its factorization.

456534384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 57.

The spelling of 456534384960 in words is "four hundred fifty-six billion, five hundred thirty-four million, three hundred eighty-four thousand, nine hundred sixty".