4256 has 24 divisors (see below), whose sum is σ = 10080. Its totient is φ = 1728.

The previous prime is 4253. The next prime is 4259. The reversal of 4256 is 6524.

4256 = 5³ + 6³ + ... + 11³.

It is an interprime number because it is at equal distance from previous prime (4253) and next prime (4259).

It is a super-2 number, since 2×4256² = 36227072, which contains 22 as substring.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4256.

It is not an unprimeable number, because it can be changed into a prime (4253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 215 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

2⁴²⁵⁶ is an apocalyptic number.

4256 is the 38-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

4256 is an abundant number, since it is smaller than the sum of its proper divisors (5824).

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

4256 is a wasteful number, since it uses less digits than its factorization.

4256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 28 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 4256 is about 65.2380257212. The cubic root of 4256 is about 16.2056780381.

It can be divided in two parts, 4 and 256, that multiplied together give a 10-th power (1024 = 2¹⁰).

The spelling of 4256 in words is "four thousand, two hundred fifty-six".