904952880 has 240 divisors, whose sum is σ = 3306663360. Its totient is φ = 220465152.

The previous prime is 904952863. The next prime is 904952911. The reversal of 904952880 is 88259409.

904952880 is a `hidden beast` number, since 9 + 0 + 49 + 528 + 80 = 666.

904952880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019797 + ... + 1020683.

It is an arithmetic number, because the mean of its divisors is an integer number (13777764).

Almost surely, 2^904952880 is an apocalyptic number.

904952880 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 904952880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653331680).

904952880 is an abundant number, since it is smaller than the sum of its proper divisors (2401710480).

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

904952880 is a wasteful number, since it uses less digits than its factorization.

904952880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 904952880 is about 30082.4347418888. The cubic root of 904952880 is about 967.2572393351.

The spelling of 904952880 in words is "nine hundred four million, nine hundred fifty-two thousand, eight hundred eighty".