256808704 has 54 divisors (see below), whose sum is σ = 522548600. Its totient is φ = 125959680.

The previous prime is 256808701. The next prime is 256808729. The reversal of 256808704 is 407808652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256808701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1290397 + ... + 1290595.

Almost surely, 2^256808704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261274300).

256808704 is an abundant number, since it is smaller than the sum of its proper divisors (265739896).

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

256808704 is an frugal number, since it uses more digits than its factorization.

256808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 256808704 is about 16025.2520729004. The cubic root of 256808704 is about 635.6283312936.

The spelling of 256808704 in words is "two hundred fifty-six million, eight hundred eight thousand, seven hundred four".