900466872 has 64 divisors (see below), whose sum is σ = 2320565760. Its totient is φ = 291043200.

The previous prime is 900466837. The next prime is 900466877. The reversal of 900466872 is 278664009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900466877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99613 + ... + 108275.

It is an arithmetic number, because the mean of its divisors is an integer number (36258840).

Almost surely, 2^900466872 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 900466872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160282880).

900466872 is an abundant number, since it is smaller than the sum of its proper divisors (1420098888).

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

900466872 is a wasteful number, since it uses less digits than its factorization.

900466872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8804 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 900466872 is about 30007.7801911438. The cubic root of 900466872 is about 965.6563038793.

The spelling of 900466872 in words is "nine hundred million, four hundred sixty-six thousand, eight hundred seventy-two".