256926208 has 200 divisors, whose sum is σ = 687701520. Its totient is φ = 94832640.

The previous prime is 256926199. The next prime is 256926211. The reversal of 256926208 is 802629652.

It is a super-2 number, since 2×256926208² = 132022152714518528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13522423 + ... + 13522441.

Almost surely, 2^256926208 is an apocalyptic number.

256926208 is a gapful number since it is divisible by the number (28) 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 256926208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343850760).

256926208 is an abundant number, since it is smaller than the sum of its proper divisors (430775312).

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

256926208 is an frugal number, since it uses more digits than its factorization.

256926208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 256926208 is about 16028.9178674045. The cubic root of 256926208 is about 635.7252613972.

The spelling of 256926208 in words is "two hundred fifty-six million, nine hundred twenty-six thousand, two hundred eight".