900350856 has 256 divisors, whose sum is σ = 2737152000. Its totient is φ = 273611520.

The previous prime is 900350839. The next prime is 900350861. The reversal of 900350856 is 658053009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 900350856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15260155 + ... + 15260213.

It is an arithmetic number, because the mean of its divisors is an integer number (10692000).

Almost surely, 2^900350856 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 900350856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368576000).

900350856 is an abundant number, since it is smaller than the sum of its proper divisors (1836801144).

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

900350856 is a wasteful number, since it uses less digits than its factorization.

900350856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 900350856 is about 30005.8470302040. The cubic root of 900350856 is about 965.6148304330.

The spelling of 900350856 in words is "nine hundred million, three hundred fifty thousand, eight hundred fifty-six".