45700 has 18 divisors (see below), whose sum is σ = 99386. Its totient is φ = 18240.

The previous prime is 45697. The next prime is 45707. The reversal of 45700 is 754.

It can be written as a sum of positive squares in 3 ways, for example, as 8836 + 36864 = 94^2 + 192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45707) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129 + ... + 328.

2⁴⁵⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

45700 is an abundant number, since it is smaller than the sum of its proper divisors (53686).

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

45700 is a wasteful number, since it uses less digits than its factorization.

45700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 45700 is about 213.7755832643. The cubic root of 45700 is about 35.7524164178.

The spelling of 45700 in words is "forty-five thousand, seven hundred".