256026384 has 120 divisors (see below), whose sum is σ = 761718360. Its totient is φ = 80123904.

The previous prime is 256026367. The next prime is 256026431. The reversal of 256026384 is 483620652.

256026384 is a `hidden beast` number, since 256 + 0 + 26 + 384 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67568400 + 188457984 = 8220^2 + 13728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153684 + ... + 155340.

It is an arithmetic number, because the mean of its divisors is an integer number (6347653).

Almost surely, 2^256026384 is an apocalyptic number.

256026384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256026384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380859180).

256026384 is an abundant number, since it is smaller than the sum of its proper divisors (505691976).

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

256026384 is a wasteful number, since it uses less digits than its factorization.

256026384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 256026384 is about 16000.8244787573. The cubic root of 256026384 is about 634.9822335741.

The spelling of 256026384 in words is "two hundred fifty-six million, twenty-six thousand, three hundred eighty-four".