904484160 has 168 divisors, whose sum is σ = 3164372640. Its totient is φ = 237063168.

The previous prime is 904484143. The next prime is 904484183. The reversal of 904484160 is 61484409.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 167259 + ... + 172581.

Almost surely, 2^904484160 is an apocalyptic number.

904484160 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 904484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582186320).

904484160 is an abundant number, since it is smaller than the sum of its proper divisors (2259888480).

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

904484160 is a wasteful number, since it uses less digits than its factorization.

904484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5392 counting only the distinct ones).

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

The square root of 904484160 is about 30074.6431400274. The cubic root of 904484160 is about 967.0902136551.

The spelling of 904484160 in words is "nine hundred four million, four hundred eighty-four thousand, one hundred sixty".