900414112 has 48 divisors (see below), whose sum is σ = 2021364072. Its totient is φ = 391127040.

The previous prime is 900414089. The next prime is 900414121. The reversal of 900414112 is 211414009.

900414112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 880664976 + 19749136 = 29676^2 + 4444^2 .

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, 56589 + ... + 70732.

Almost surely, 2^900414112 is an apocalyptic number.

It is an amenable number.

900414112 is an abundant number, since it is smaller than the sum of its proper divisors (1120949960).

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

900414112 is a wasteful number, since it uses less digits than its factorization.

900414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127361 (or 127353 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 900414112 is about 30006.9010729199. The cubic root of 900414112 is about 965.6374436550.

The spelling of 900414112 in words is "nine hundred million, four hundred fourteen thousand, one hundred twelve".