900553920 has 224 divisors, whose sum is σ = 3460382208. Its totient is φ = 193708032.

The previous prime is 900553909. The next prime is 900553991. The reversal of 900553920 is 29355009.

900553920 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 (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110299 + ... + 118181.

Almost surely, 2^900553920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730191104).

900553920 is an abundant number, since it is smaller than the sum of its proper divisors (2559828288).

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

900553920 is a wasteful number, since it uses less digits than its factorization.

900553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7927 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 900553920 is about 30009.2305799399. The cubic root of 900553920 is about 965.6874194943.

The spelling of 900553920 in words is "nine hundred million, five hundred fifty-three thousand, nine hundred twenty".