45804 has 24 divisors (see below), whose sum is σ = 116928. Its totient is φ = 13840.

The previous prime is 45779. The next prime is 45817. The reversal of 45804 is 40854.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (4872).

2⁴⁵⁸⁰⁴ is an apocalyptic number.

45804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45804 is an abundant number, since it is smaller than the sum of its proper divisors (71124).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58464).

45804 is a wasteful number, since it uses less digits than its factorization.

45804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45804 is about 214.0186907726. The cubic root of 45804 is about 35.7795165951.

Subtracting from 45804 its reverse (40854), we obtain a triangular number (4950 = T₉₉).

The spelling of 45804 in words is "forty-five thousand, eight hundred four".