456979732452 has 120 divisors (see below), whose sum is σ = 1235288651520. Its totient is φ = 147159789120.

The previous prime is 456979732411. The next prime is 456979732493. The reversal of 456979732452 is 254237979654.

456979732452 is a `hidden beast` number, since 4 + 5 + 6 + 97 + 97 + 3 + 2 + 452 = 666.

It is an interprime number because it is at equal distance from previous prime (456979732411) and next prime (456979732493).

It is a self number, because there is not a number n which added to its sum of digits gives 456979732452.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5857074 + ... + 5934582.

It is an arithmetic number, because the mean of its divisors is an integer number (10294072096).

Almost surely, 2^456979732452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456979732452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617644325760).

456979732452 is an abundant number, since it is smaller than the sum of its proper divisors (778308919068).

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

456979732452 is a wasteful number, since it uses less digits than its factorization.

456979732452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78143 (or 78132 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 456979732452 in words is "four hundred fifty-six billion, nine hundred seventy-nine million, seven hundred thirty-two thousand, four hundred fifty-two".