456022656 has 128 divisors (see below), whose sum is σ = 1404662400. Its totient is φ = 145373184.

The previous prime is 456022643. The next prime is 456022661. The reversal of 456022656 is 656220654.

456022656 is a `hidden beast` number, since 45 + 602 + 2 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 456022656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76620 + ... + 82356.

It is an arithmetic number, because the mean of its divisors is an integer number (10973925).

Almost surely, 2^456022656 is an apocalyptic number.

456022656 is a gapful number since it is divisible by the number (46) 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 456022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702331200).

456022656 is an abundant number, since it is smaller than the sum of its proper divisors (948639744).

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

456022656 is a wasteful number, since it uses less digits than its factorization.

456022656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 456022656 is about 21354.6869796773. The cubic root of 456022656 is about 769.7129733603.

The spelling of 456022656 in words is "four hundred fifty-six million, twenty-two thousand, six hundred fifty-six".