904400 has 120 divisors (see below), whose sum is σ = 2767680. Its totient is φ = 276480.

The previous prime is 904399. The next prime is 904441. The reversal of 904400 is 4409.

904400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 951²-1.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47591 + ... + 47609.

It is an arithmetic number, because the mean of its divisors is an integer number (23064).

2⁹⁰⁴⁴⁰⁰ 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 904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840).

904400 is an abundant number, since it is smaller than the sum of its proper divisors (1863280).

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

904400 is a wasteful number, since it uses less digits than its factorization.

904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 904400 is about 950.9994742375. Note that the first 3 decimals coincide. The cubic root of 904400 is about 96.7060217612.

Adding to 904400 its reverse (4409), we get a palindrome (908809).

The spelling of 904400 in words is "nine hundred four thousand, four hundred".