256681544 has 64 divisors (see below), whose sum is σ = 564537600. Its totient is φ = 107138304.

The previous prime is 256681511. The next prime is 256681549. The reversal of 256681544 is 445186652.

It is not an unprimeable number, because it can be changed into a prime (256681549) 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 15 ways as a sum of consecutive naturals, for example, 584477 + ... + 584915.

It is an arithmetic number, because the mean of its divisors is an integer number (8820900).

Almost surely, 2^256681544 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 256681544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282268800).

256681544 is an abundant number, since it is smaller than the sum of its proper divisors (307856056).

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

256681544 is a wasteful number, since it uses less digits than its factorization.

256681544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 256681544 is about 16021.2840933553. The cubic root of 256681544 is about 635.5234025514.

The spelling of 256681544 in words is "two hundred fifty-six million, six hundred eighty-one thousand, five hundred forty-four".