45257800 has 48 divisors (see below), whose sum is σ = 120260160. Its totient is φ = 15516480.

The previous prime is 45257789. The next prime is 45257831. The reversal of 45257800 is 875254.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14764 + ... + 17563.

It is an arithmetic number, because the mean of its divisors is an integer number (2505420).

Almost surely, 2^45257800 is an apocalyptic number.

45257800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45257800 is an abundant number, since it is smaller than the sum of its proper divisors (75002360).

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

45257800 is a wasteful number, since it uses less digits than its factorization.

45257800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32350 (or 32341 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 45257800 is about 6727.3917679885. The cubic root of 45257800 is about 356.3672723589.

The spelling of 45257800 in words is "forty-five million, two hundred fifty-seven thousand, eight hundred".