904438080 has 1008 divisors, whose sum is σ = 4268693520. Its totient is φ = 173408256.

The previous prime is 904438079. The next prime is 904438127. The reversal of 904438080 is 80834409.

It can be written as a sum of positive squares in 8 ways, for example, as 10188864 + 894249216 = 3192^2 + 29904^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31187506 + ... + 31187534.

It is an arithmetic number, because the mean of its divisors is an integer number (4234815).

Almost surely, 2^904438080 is an apocalyptic number.

904438080 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 904438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134346760).

904438080 is an abundant number, since it is smaller than the sum of its proper divisors (3364255440).

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

904438080 is a wasteful number, since it uses less digits than its factorization.

904438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 904438080 is about 30073.8770363916. The cubic root of 904438080 is about 967.0737901967.

The spelling of 904438080 in words is "nine hundred four million, four hundred thirty-eight thousand, eighty".