256392288 has 144 divisors (see below), whose sum is σ = 754790400. Its totient is φ = 82517760.

The previous prime is 256392281. The next prime is 256392319. The reversal of 256392288 is 882293652.

It is a happy number.

256392288 is a `hidden beast` number, since 2 + 5 + 639 + 2 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256392281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342273 + ... + 1342463.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2^256392288 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 256392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

256392288 is an abundant number, since it is smaller than the sum of its proper divisors (498398112).

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

256392288 is a wasteful number, since it uses less digits than its factorization.

256392288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 256392288 is about 16012.2543072486. The cubic root of 256392288 is about 635.2845877534.

The spelling of 256392288 in words is "two hundred fifty-six million, three hundred ninety-two thousand, two hundred eighty-eight".