45904 has 20 divisors (see below), whose sum is σ = 94240. Its totient is φ = 21600.

The previous prime is 45893. The next prime is 45943. The reversal of 45904 is 40954.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (4712).

2⁴⁵⁹⁰⁴ 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 45904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47120).

45904 is an abundant number, since it is smaller than the sum of its proper divisors (48336).

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

45904 is a wasteful number, since it uses less digits than its factorization.

45904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 45904 is about 214.2521878535. The cubic root of 45904 is about 35.8055358001.

Subtracting from 45904 its reverse (40954), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 45 and 904, that added together give a palindrome (949).

The spelling of 45904 in words is "forty-five thousand, nine hundred four".