900856000 has 224 divisors, whose sum is σ = 2524841280. Its totient is φ = 315392000.

The previous prime is 900855997. The next prime is 900856007. The reversal of 900856000 is 658009.

900856000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 900856000.

It is not an unprimeable number, because it can be changed into a prime (900856007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2551824 + ... + 2552176.

Almost surely, 2^900856000 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 900856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262420640).

900856000 is an abundant number, since it is smaller than the sum of its proper divisors (1623985280).

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

900856000 is a wasteful number, since it uses less digits than its factorization.

900856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 900856000 is about 30014.2632759826. The cubic root of 900856000 is about 965.7953835069.

The spelling of 900856000 in words is "nine hundred million, eight hundred fifty-six thousand".