256320288 has 288 divisors, whose sum is σ = 918013824. Its totient is φ = 68677632.

The previous prime is 256320263. The next prime is 256320289. The reversal of 256320288 is 882023652.

256320288 is a `hidden beast` number, since 2 + 56 + 320 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (256320289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925206 + ... + 925482.

It is an arithmetic number, because the mean of its divisors is an integer number (3187548).

Almost surely, 2^256320288 is an apocalyptic number.

256320288 is a gapful number since it is divisible by the number (28) 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 256320288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459006912).

256320288 is an abundant number, since it is smaller than the sum of its proper divisors (661693536).

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

256320288 is a wasteful number, since it uses less digits than its factorization.

256320288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 256320288 is about 16010.0058713293. The cubic root of 256320288 is about 635.2251153814.

The spelling of 256320288 in words is "two hundred fifty-six million, three hundred twenty thousand, two hundred eighty-eight".