900050564 has 36 divisors (see below), whose sum is σ = 1840626816. Its totient is φ = 377072304.

The previous prime is 900050563. The next prime is 900050579. The reversal of 900050564 is 465050009.

900050564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (900050561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087919 + ... + 1088745.

Almost surely, 2^900050564 is an apocalyptic number.

900050564 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900050564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920313408).

900050564 is an abundant number, since it is smaller than the sum of its proper divisors (940576252).

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

900050564 is an equidigital number, since it uses as much as digits as its factorization.

900050564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 900050564 is about 30000.8427214970. The cubic root of 900050564 is about 965.5074653801.

The spelling of 900050564 in words is "nine hundred million, fifty thousand, five hundred sixty-four".