900120264 has 16 divisors (see below), whose sum is σ = 2250300720. Its totient is φ = 300040080.

The previous prime is 900120259. The next prime is 900120283. The reversal of 900120264 is 462021009.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 37505011 = 900120264 / (9 + 0 + 0 + 1 + 2 + 0 + 2 + 6 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18752482 + ... + 18752529.

It is an arithmetic number, because the mean of its divisors is an integer number (140643795).

Almost surely, 2^900120264 is an apocalyptic number.

It is an amenable number.

900120264 is an abundant number, since it is smaller than the sum of its proper divisors (1350180456).

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

900120264 is a wasteful number, since it uses less digits than its factorization.

900120264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37505020 (or 37505016 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 900120264 is about 30002.0043330442. The cubic root of 900120264 is about 965.5323877330.

The spelling of 900120264 in words is "nine hundred million, one hundred twenty thousand, two hundred sixty-four".