305904 has 20 divisors (see below), whose sum is σ = 790376. Its totient is φ = 101952.

The previous prime is 305873. The next prime is 305917. The reversal of 305904 is 409503.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305904.

It is an unprimeable number.

305904 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 3 ways as a sum of consecutive naturals, for example, 3139 + ... + 3234.

2³⁰⁵⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

305904 is an abundant number, since it is smaller than the sum of its proper divisors (484472).

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

305904 is a wasteful number, since it uses less digits than its factorization.

305904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 305904 is about 553.0858884477. The cubic root of 305904 is about 67.3795933020.

The spelling of 305904 in words is "three hundred five thousand, nine hundred four".