45900 has 72 divisors (see below), whose sum is σ = 156240. Its totient is φ = 11520.

The previous prime is 45893. The next prime is 45943. The reversal of 45900 is 954.

45900 = 21³ + 22³ + ... + 24³.

45900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

45900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2692 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (2170).

2⁴⁵⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

45900 is an abundant number, since it is smaller than the sum of its proper divisors (110340).

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

45900 is a wasteful number, since it uses less digits than its factorization.

45900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 45900 is about 214.2428528563. The cubic root of 45900 is about 35.8044957578.

The spelling of 45900 in words is "forty-five thousand, nine hundred".