256240608 has 192 divisors, whose sum is σ = 772208640. Its totient is φ = 73801728.

The previous prime is 256240597. The next prime is 256240627. The reversal of 256240608 is 806042652.

256240608 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267560 + ... + 2267672.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^256240608 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 256240608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

256240608 is an abundant number, since it is smaller than the sum of its proper divisors (515968032).

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

256240608 is a wasteful number, since it uses less digits than its factorization.

256240608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 256240608 is about 16007.5172340997. The cubic root of 256240608 is about 635.1592863059.

The spelling of 256240608 in words is "two hundred fifty-six million, two hundred forty thousand, six hundred eight".