457916992 has 42 divisors (see below), whose sum is σ = 983977458. Its totient is φ = 211341312.

The previous prime is 457916909. The next prime is 457917017. The reversal of 457916992 is 299619754.

It can be written as a sum of positive squares in 3 ways, for example, as 14561856 + 443355136 = 3816^2 + 21056^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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 5 ways as a sum of consecutive naturals, for example, 10353 + ... + 31984.

Almost surely, 2^457916992 is an apocalyptic number.

It is an amenable number.

457916992 is an abundant number, since it is smaller than the sum of its proper divisors (526060466).

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

457916992 is a wasteful number, since it uses less digits than its factorization.

457916992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42375 (or 42352 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 52.

The square root of 457916992 is about 21398.9951165937. The cubic root of 457916992 is about 770.7773069176. Note that the first 3 decimals are identical.

The spelling of 457916992 in words is "four hundred fifty-seven million, nine hundred sixteen thousand, nine hundred ninety-two".