256259584 has 80 divisors (see below), whose sum is σ = 590819328. Its totient is φ = 108767232.

The previous prime is 256259567. The next prime is 256259599. The reversal of 256259584 is 485952652.

It is a happy number.

256259584 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454887 + ... + 455449.

Almost surely, 2^256259584 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 256259584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295409664).

256259584 is an abundant number, since it is smaller than the sum of its proper divisors (334559744).

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

256259584 is an equidigital number, since it uses as much as digits as its factorization.

256259584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 699 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The square root of 256259584 is about 16008.1099446499. The cubic root of 256259584 is about 635.1749649099.

The spelling of 256259584 in words is "two hundred fifty-six million, two hundred fifty-nine thousand, five hundred eighty-four".