307904 has 28 divisors (see below), whose sum is σ = 649224. Its totient is φ = 144384.

The previous prime is 307903. The next prime is 307919. The reversal of 307904 is 409703.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 307904.

It is not an unprimeable number, because it can be changed into a prime (307903) by changing a digit.

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, 947 + ... + 1229.

2³⁰⁷⁹⁰⁴ is an apocalyptic number.

307904 is a gapful number since it is divisible by the number (34) 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 307904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324612).

307904 is an abundant number, since it is smaller than the sum of its proper divisors (341320).

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

307904 is a wasteful number, since it uses less digits than its factorization.

307904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 307904 is about 554.8909802835. The cubic root of 307904 is about 67.5261170083.

The spelling of 307904 in words is "three hundred seven thousand, nine hundred four".