456944904 has 216 divisors, whose sum is σ = 1449738810. Its totient is φ = 129512448.

The previous prime is 456944897. The next prime is 456944923. The reversal of 456944904 is 409449654.

It can be written as a sum of positive squares in 3 ways, for example, as 295908804 + 161036100 = 17202^2 + 12690^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 456944904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9722209 + ... + 9722255.

Almost surely, 2^456944904 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 456944904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724869405).

456944904 is an abundant number, since it is smaller than the sum of its proper divisors (992793906).

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

456944904 is a wasteful number, since it uses less digits than its factorization.

456944904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 456944904 is about 21376.2696465029. The cubic root of 456944904 is about 770.2315062590.

The spelling of 456944904 in words is "four hundred fifty-six million, nine hundred forty-four thousand, nine hundred four".