904200 has 96 divisors (see below), whose sum is σ = 3080160. Its totient is φ = 217600.

The previous prime is 904193. The next prime is 904201. The reversal of 904200 is 2409.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 904200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 904200.

It is not an unprimeable number, because it can be changed into a prime (904201) by changing a digit.

904200 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 23 ways as a sum of consecutive naturals, for example, 6532 + ... + 6668.

It is an arithmetic number, because the mean of its divisors is an integer number (32085).

2⁹⁰⁴²⁰⁰ 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 904200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540080).

904200 is an abundant number, since it is smaller than the sum of its proper divisors (2175960).

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

904200 is a wasteful number, since it uses less digits than its factorization.

904200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 904200 is about 950.8943158943. The cubic root of 904200 is about 96.6988926774.

Adding to 904200 its reverse (2409), we get a palindrome (906609).

The spelling of 904200 in words is "nine hundred four thousand, two hundred".