456427882080 has 72 divisors (see below), whose sum is σ = 1557560152512. Its totient is φ = 121714101504.

The previous prime is 456427882063. The next prime is 456427882091. The reversal of 456427882080 is 80288724654.

456427882080 is a `hidden beast` number, since 4 + 5 + 6 + 427 + 8 + 8 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158480464 + ... + 158483343.

It is an arithmetic number, because the mean of its divisors is an integer number (21632779896).

Almost surely, 2^456427882080 is an apocalyptic number.

456427882080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456427882080 is an abundant number, since it is smaller than the sum of its proper divisors (1101132270432).

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

456427882080 is a wasteful number, since it uses less digits than its factorization.

456427882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316963828 (or 316963817 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 456427882080 in words is "four hundred fifty-six billion, four hundred twenty-seven million, eight hundred eighty-two thousand, eighty".