900219312 has 80 divisors (see below), whose sum is σ = 2595072000. Its totient is φ = 298783296.

The previous prime is 900219301. The next prime is 900219347. The reversal of 900219312 is 213912009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98889 + ... + 107607.

It is an arithmetic number, because the mean of its divisors is an integer number (32438400).

Almost surely, 2^900219312 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 900219312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297536000).

900219312 is an abundant number, since it is smaller than the sum of its proper divisors (1694852688).

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

900219312 is a wasteful number, since it uses less digits than its factorization.

900219312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 900219312 is about 30003.6549773523. The cubic root of 900219312 is about 965.5678017208.

The spelling of 900219312 in words is "nine hundred million, two hundred nineteen thousand, three hundred twelve".