456634816 has 28 divisors (see below), whose sum is σ = 988512120. Its totient is φ = 207560960.

The previous prime is 456634793. The next prime is 456634817. The reversal of 456634816 is 618436654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456634817) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323611 + ... + 325018.

Almost surely, 2^456634816 is an apocalyptic number.

It is an amenable number.

456634816 is an abundant number, since it is smaller than the sum of its proper divisors (531877304).

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

456634816 is a wasteful number, since it uses less digits than its factorization.

456634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648652 (or 648642 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The square root of 456634816 is about 21369.0153259339. The cubic root of 456634816 is about 770.0572375510.

The spelling of 456634816 in words is "four hundred fifty-six million, six hundred thirty-four thousand, eight hundred sixteen".