456973978824 has 192 divisors, whose sum is σ = 1363474944000. Its totient is φ = 137117016960.

The previous prime is 456973978801. The next prime is 456973978831. The reversal of 456973978824 is 428879379654.

456973978824 is a `hidden beast` number, since 4 + 56 + 97 + 397 + 88 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33875809 + ... + 33889295.

It is an arithmetic number, because the mean of its divisors is an integer number (7101432000).

Almost surely, 2^456973978824 is an apocalyptic number.

456973978824 is a gapful number since it is divisible by the number (44) 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 456973978824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681737472000).

456973978824 is an abundant number, since it is smaller than the sum of its proper divisors (906500965176).

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

456973978824 is a wasteful number, since it uses less digits than its factorization.

456973978824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13928 (or 13921 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 456973978824 in words is "four hundred fifty-six billion, nine hundred seventy-three million, nine hundred seventy-eight thousand, eight hundred twenty-four".