456418872 has 96 divisors (see below), whose sum is σ = 1521418080. Its totient is φ = 120372480.

The previous prime is 456418843. The next prime is 456418883. The reversal of 456418872 is 278814654.

456418872 is a `hidden beast` number, since 4 + 564 + 1 + 8 + 87 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28279 + ... + 41382.

It is an arithmetic number, because the mean of its divisors is an integer number (15848105).

Almost surely, 2^456418872 is an apocalyptic number.

456418872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456418872 is an abundant number, since it is smaller than the sum of its proper divisors (1064999208).

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

456418872 is a wasteful number, since it uses less digits than its factorization.

456418872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69693 (or 69686 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 456418872 is about 21363.9619921025. The cubic root of 456418872 is about 769.9358309375.

It can be divided in two parts, 4564 and 18872, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 456418872 in words is "four hundred fifty-six million, four hundred eighteen thousand, eight hundred seventy-two".