900401664 has 80 divisors (see below), whose sum is σ = 2405113920. Its totient is φ = 299335680.

The previous prime is 900401611. The next prime is 900401707. The reversal of 900401664 is 466104009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968752 + ... + 969680.

It is an arithmetic number, because the mean of its divisors is an integer number (30063924).

Almost surely, 2^900401664 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 900401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202556960).

900401664 is an abundant number, since it is smaller than the sum of its proper divisors (1504712256).

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

900401664 is an equidigital number, since it uses as much as digits as its factorization.

900401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 900401664 is about 30006.6936532501. The cubic root of 900401664 is about 965.6329937357.

The spelling of 900401664 in words is "nine hundred million, four hundred one thousand, six hundred sixty-four".