256386336 has 96 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 80703744.

The previous prime is 256386331. The next prime is 256386341. The reversal of 256386336 is 633683652.

It is an interprime number because it is at equal distance from previous prime (256386331) and next prime (256386341).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (256386331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182565 + ... + 183963.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2^256386336 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 256386336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

256386336 is an abundant number, since it is smaller than the sum of its proper divisors (454858464).

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

256386336 is a wasteful number, since it uses less digits than its factorization.

256386336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1510 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 256386336 is about 16012.0684485172. The cubic root of 256386336 is about 635.2796717929.

The spelling of 256386336 in words is "two hundred fifty-six million, three hundred eighty-six thousand, three hundred thirty-six".