256727268 has 144 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 68979456.

The previous prime is 256727197. The next prime is 256727269. The reversal of 256727268 is 862727652.

256727268 is a `hidden beast` number, since 2 + 567 + 27 + 2 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (256727269) 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, 209305 + ... + 210527.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^256727268 is an apocalyptic number.

256727268 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 256727268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

256727268 is an abundant number, since it is smaller than the sum of its proper divisors (545237532).

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

256727268 is a wasteful number, since it uses less digits than its factorization.

256727268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1252 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 256727268 is about 16022.7110065681. The cubic root of 256727268 is about 635.5611366588.

The spelling of 256727268 in words is "two hundred fifty-six million, seven hundred twenty-seven thousand, two hundred sixty-eight".