904138200 has 720 divisors, whose sum is σ = 3925496520. Its totient is φ = 191600640.

The previous prime is 904138187. The next prime is 904138229. The reversal of 904138200 is 2831409.

904138200 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 zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13494567 + ... + 13494633.

Almost surely, 2^904138200 is an apocalyptic number.

904138200 is a gapful number since it is divisible by the number (90) 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 904138200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962748260).

904138200 is an abundant number, since it is smaller than the sum of its proper divisors (3021358320).

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

904138200 is a wasteful number, since it uses less digits than its factorization.

904138200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 904138200 is about 30068.8909007299. The cubic root of 904138200 is about 966.9668957789.

Adding to 904138200 its reverse (2831409), we get a palindrome (906969609).

The spelling of 904138200 in words is "nine hundred four million, one hundred thirty-eight thousand, two hundred".