256224 has 48 divisors (see below), whose sum is σ = 716688. Its totient is φ = 79872.

The previous prime is 256219. The next prime is 256279. The reversal of 256224 is 422652.

256224 is nontrivially palindromic in base 11.

256224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256224.

It is a congruent number.

It is an unprimeable number.

256224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1554 + ... + 1710.

It is an arithmetic number, because the mean of its divisors is an integer number (14931).

2²⁵⁶²²⁴ is an apocalyptic number.

256224 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 256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358344).

256224 is an abundant number, since it is smaller than the sum of its proper divisors (460464).

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

256224 is a wasteful number, since it uses less digits than its factorization.

256224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 256224 is about 506.1857366619. The cubic root of 256224 is about 63.5145563587.

Adding to 256224 its reverse (422652), we get a palindrome (678876).

The spelling of 256224 in words is "two hundred fifty-six thousand, two hundred twenty-four".