45800 has 24 divisors (see below), whose sum is σ = 106950. Its totient is φ = 18240.

The previous prime is 45779. The next prime is 45817. The reversal of 45800 is 854.

45800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 42436 + 3364 = 206^2 + 58^2 .

It is a nialpdrome in base 15.

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, 86 + ... + 314.

2⁴⁵⁸⁰⁰ is an apocalyptic number.

45800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53475).

45800 is an abundant number, since it is smaller than the sum of its proper divisors (61150).

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

45800 is a wasteful number, since it uses less digits than its factorization.

45800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 45800 is about 214.0093455903. The cubic root of 45800 is about 35.7784750395.

The spelling of 45800 in words is "forty-five thousand, eight hundred".