45457600 has 42 divisors (see below), whose sum is σ = 111858044. Its totient is φ = 18182400.

The previous prime is 45457589. The next prime is 45457613. The reversal of 45457600 is 675454.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12606 + ... + 15805.

Almost surely, 2^45457600 is an apocalyptic number.

45457600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45457600 is an abundant number, since it is smaller than the sum of its proper divisors (66400444).

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

45457600 is a wasteful number, since it uses less digits than its factorization.

45457600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28433 (or 28418 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 45457600 is about 6742.2251519806. The cubic root of 45457600 is about 356.8909217503.

The spelling of 45457600 in words is "forty-five million, four hundred fifty-seven thousand, six hundred".