900030312 has 128 divisors (see below), whose sum is σ = 2636064000. Its totient is φ = 284094720.

The previous prime is 900030239. The next prime is 900030343. The reversal of 900030312 is 213030009.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 330637 + ... + 333347.

It is an arithmetic number, because the mean of its divisors is an integer number (20594250).

Almost surely, 2^900030312 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 900030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318032000).

900030312 is an abundant number, since it is smaller than the sum of its proper divisors (1736033688).

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

900030312 is a wasteful number, since it uses less digits than its factorization.

900030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 900030312 is about 30000.5051957463. The cubic root of 900030312 is about 965.5002237114.

The spelling of 900030312 in words is "nine hundred million, thirty thousand, three hundred twelve".