900815400856 has 32 divisors (see below), whose sum is σ = 1930372842240. Its totient is φ = 386052918048.

The previous prime is 900815400829. The next prime is 900815400871. The reversal of 900815400856 is 658004518009.

900815400856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900815400856² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1980405 + ... + 2392411.

It is an arithmetic number, because the mean of its divisors is an integer number (60324151320).

Almost surely, 2^900815400856 is an apocalyptic number.

It is an amenable number.

900815400856 is an abundant number, since it is smaller than the sum of its proper divisors (1029557441384).

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

900815400856 is a wasteful number, since it uses less digits than its factorization.

900815400856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451063 (or 451059 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 900815400856 in words is "nine hundred billion, eight hundred fifteen million, four hundred thousand, eight hundred fifty-six".