900596256 has 96 divisors (see below), whose sum is σ = 2717245440. Its totient is φ = 255841536.

The previous prime is 900596239. The next prime is 900596261. The reversal of 900596256 is 652695009.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×900596256² = 1622147232642435072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 116545 + ... + 124031.

It is an arithmetic number, because the mean of its divisors is an integer number (28304640).

Almost surely, 2^900596256 is an apocalyptic number.

900596256 is a gapful number since it is divisible by the number (96) 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 900596256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358622720).

900596256 is an abundant number, since it is smaller than the sum of its proper divisors (1816649184).

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

900596256 is a wasteful number, since it uses less digits than its factorization.

900596256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 900596256 is about 30009.9359546134. The cubic root of 900596256 is about 965.7025519223.

The spelling of 900596256 in words is "nine hundred million, five hundred ninety-six thousand, two hundred fifty-six".