904970880 has 576 divisors, whose sum is σ = 3695721120. Its totient is φ = 209848320.

The previous prime is 904970873. The next prime is 904970977. The reversal of 904970880 is 88079409.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 39346549 + ... + 39346571.

Almost surely, 2^904970880 is an apocalyptic number.

904970880 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 904970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847860560).

904970880 is an abundant number, since it is smaller than the sum of its proper divisors (2790750240).

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

904970880 is a wasteful number, since it uses less digits than its factorization.

904970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 904970880 is about 30082.7339183127. The cubic root of 904970880 is about 967.2636523816.

The spelling of 904970880 in words is "nine hundred four million, nine hundred seventy thousand, eight hundred eighty".