900316872 has 384 divisors, whose sum is σ = 3255033600. Its totient is φ = 218087424.

The previous prime is 900316871. The next prime is 900316877. The reversal of 900316872 is 278613009.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (900316871) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6571588 + ... + 6571724.

It is an arithmetic number, because the mean of its divisors is an integer number (8476650).

Almost surely, 2^900316872 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 900316872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627516800).

900316872 is an abundant number, since it is smaller than the sum of its proper divisors (2354716728).

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

900316872 is a wasteful number, since it uses less digits than its factorization.

900316872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 900316872 is about 30005.2807352306. The cubic root of 900316872 is about 965.6026811444.

The spelling of 900316872 in words is "nine hundred million, three hundred sixteen thousand, eight hundred seventy-two".