256909648 has 40 divisors (see below), whose sum is σ = 527744000. Its totient is φ = 120942720.

The previous prime is 256909643. The next prime is 256909663. The reversal of 256909648 is 846909652.

256909648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256909643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11353 + ... + 25351.

It is an arithmetic number, because the mean of its divisors is an integer number (13193600).

Almost surely, 2^256909648 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 256909648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263872000).

256909648 is an abundant number, since it is smaller than the sum of its proper divisors (270834352).

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

256909648 is a wasteful number, since it uses less digits than its factorization.

256909648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14075 (or 14069 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 256909648 is about 16028.4012927054. The cubic root of 256909648 is about 635.7116026940.

The spelling of 256909648 in words is "two hundred fifty-six million, nine hundred nine thousand, six hundred forty-eight".