456855984 has 80 divisors (see below), whose sum is σ = 1412236000. Its totient is φ = 140569344.

The previous prime is 456855967. The next prime is 456855991. The reversal of 456855984 is 489558654.

456855984 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 559 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 456855984.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35059 + ... + 46290.

It is an arithmetic number, because the mean of its divisors is an integer number (17652950).

Almost surely, 2^456855984 is an apocalyptic number.

It is an amenable number.

456855984 is an abundant number, since it is smaller than the sum of its proper divisors (955380016).

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

456855984 is a wasteful number, since it uses less digits than its factorization.

456855984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81379 (or 81367 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The square root of 456855984 is about 21374.1896688506. The cubic root of 456855984 is about 770.1815414981.

The spelling of 456855984 in words is "four hundred fifty-six million, eight hundred fifty-five thousand, nine hundred eighty-four".