256819332 has 96 divisors (see below), whose sum is σ = 749952000. Its totient is φ = 66453120.

The previous prime is 256819313. The next prime is 256819337. The reversal of 256819332 is 233918652.

It is not an unprimeable number, because it can be changed into a prime (256819337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460798 + ... + 461354.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2^256819332 is an apocalyptic number.

256819332 is a gapful number since it is divisible by the number (22) 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 256819332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

256819332 is an abundant number, since it is smaller than the sum of its proper divisors (493132668).

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

256819332 is a wasteful number, since it uses less digits than its factorization.

256819332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1079 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 256819332 is about 16025.5836711179. The cubic root of 256819332 is about 635.6370996421.

The spelling of 256819332 in words is "two hundred fifty-six million, eight hundred nineteen thousand, three hundred thirty-two".