256249224 has 384 divisors, whose sum is σ = 945561600. Its totient is φ = 63504000.

The previous prime is 256249207. The next prime is 256249241. The reversal of 256249224 is 422942652.

It is a happy number.

256249224 is a `hidden beast` number, since 2 + 5 + 624 + 9 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (256249207) and next prime (256249241).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3609109 + ... + 3609179.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 2^256249224 is an apocalyptic number.

256249224 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 256249224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472780800).

256249224 is an abundant number, since it is smaller than the sum of its proper divisors (689312376).

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

256249224 is a wasteful number, since it uses less digits than its factorization.

256249224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 256249224 is about 16007.7863553959. The cubic root of 256249224 is about 635.1664052284.

The spelling of 256249224 in words is "two hundred fifty-six million, two hundred forty-nine thousand, two hundred twenty-four".