904296960 has 600 divisors, whose sum is σ = 3810040740. Its totient is φ = 204374016.

The previous prime is 904296941. The next prime is 904296989. The reversal of 904296960 is 69692409.

It can be written as a sum of positive squares in 2 ways, for example, as 854509824 + 49787136 = 29232^2 + 7056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10160596 + ... + 10160684.

Almost surely, 2^904296960 is an apocalyptic number.

904296960 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 904296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905020370).

904296960 is an abundant number, since it is smaller than the sum of its proper divisors (2905743780).

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

904296960 is an equidigital number, since it uses as much as digits as its factorization.

904296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 904296960 is about 30071.5307225954. The cubic root of 904296960 is about 967.0234898850.

The spelling of 904296960 in words is "nine hundred four million, two hundred ninety-six thousand, nine hundred sixty".