904392 has 64 divisors (see below), whose sum is σ = 2592000. Its totient is φ = 292032.

The previous prime is 904369. The next prime is 904399. The reversal of 904392 is 293409.

904392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

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 904392.

It is not an unprimeable number, because it can be changed into a prime (904399) by changing a digit.

904392 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 15 ways as a sum of consecutive naturals, for example, 11409 + ... + 11487.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁹⁰⁴³⁹² 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 904392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000).

904392 is an abundant number, since it is smaller than the sum of its proper divisors (1687608).

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

904392 is a wasteful number, since it uses less digits than its factorization.

904392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 904392 is about 950.9952681270. The cubic root of 904392 is about 96.7057366180.

It can be divided in two parts, 904 and 392, that added together give a 4-th power (1296 = 6⁴).

The spelling of 904392 in words is "nine hundred four thousand, three hundred ninety-two".