904020000 has 480 divisors, whose sum is σ = 3416656320. Its totient is φ = 207360000.

The previous prime is 904019971. The next prime is 904020017. The reversal of 904020000 is 20409.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14819970 + ... + 14820030.

It is an arithmetic number, because the mean of its divisors is an integer number (7118034).

Almost surely, 2^904020000 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 904020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708328160).

904020000 is an abundant number, since it is smaller than the sum of its proper divisors (2512636320).

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

904020000 is a wasteful number, since it uses less digits than its factorization.

904020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

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

The square root of 904020000 is about 30066.9253499589. The cubic root of 904020000 is about 966.9247560307.

Adding to 904020000 its reverse (20409), we get a palindrome (904040409).

The spelling of 904020000 in words is "nine hundred four million, twenty thousand".