456988616 has 32 divisors (see below), whose sum is σ = 981027840. Its totient is φ = 195499008.

The previous prime is 456988613. The next prime is 456988643. The reversal of 456988616 is 616889654.

It is not an unprimeable number, because it can be changed into a prime (456988613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25241 + ... + 39383.

It is an arithmetic number, because the mean of its divisors is an integer number (30657120).

Almost surely, 2^456988616 is an apocalyptic number.

It is an amenable number.

456988616 is an abundant number, since it is smaller than the sum of its proper divisors (524039224).

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

456988616 is a wasteful number, since it uses less digits than its factorization.

456988616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14733 (or 14729 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 53.

The square root of 456988616 is about 21377.2920642442. The cubic root of 456988616 is about 770.2560659566.

The spelling of 456988616 in words is "four hundred fifty-six million, nine hundred eighty-eight thousand, six hundred sixteen".