456827904 has 352 divisors, whose sum is σ = 1540654080. Its totient is φ = 132710400.

The previous prime is 456827867. The next prime is 456827947. The reversal of 456827904 is 409728654.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 456827904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11142124 + ... + 11142164.

Almost surely, 2^456827904 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 456827904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770327040).

456827904 is an abundant number, since it is smaller than the sum of its proper divisors (1083826176).

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

456827904 is a wasteful number, since it uses less digits than its factorization.

456827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 456827904 is about 21373.5327917497. The cubic root of 456827904 is about 770.1657618056.

The spelling of 456827904 in words is "four hundred fifty-six million, eight hundred twenty-seven thousand, nine hundred four".