900479532096 has 189 divisors, whose sum is σ = 2725366758933. Its totient is φ = 284225310720.

The previous prime is 900479532083. The next prime is 900479532143. The reversal of 900479532096 is 690235974009.

The square root of 900479532096 is 948936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 341214866496 + 559264665600 = 584136^2 + 747840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 432713776 + ... + 432715856.

Almost surely, 2^900479532096 is an apocalyptic number.

900479532096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

900479532096 is the 948936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900479532096

900479532096 is an abundant number, since it is smaller than the sum of its proper divisors (1824887226837).

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

900479532096 is an equidigital number, since it uses as much as digits as its factorization.

900479532096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 900479532096 in words is "nine hundred billion, four hundred seventy-nine million, five hundred thirty-two thousand, ninety-six".