256583880 has 192 divisors, whose sum is σ = 986169600. Its totient is φ = 56609280.

The previous prime is 256583867. The next prime is 256583891. The reversal of 256583880 is 88385652.

It is a happy number.

256583880 is a `hidden beast` number, since 2 + 565 + 8 + 3 + 8 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71325 + ... + 74835.

It is an arithmetic number, because the mean of its divisors is an integer number (5136300).

Almost surely, 2^256583880 is an apocalyptic number.

256583880 is a gapful number since it is divisible by the number (20) 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 256583880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493084800).

256583880 is an abundant number, since it is smaller than the sum of its proper divisors (729585720).

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

256583880 is a wasteful number, since it uses less digits than its factorization.

256583880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3564 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 256583880 is about 16018.2358579214. The cubic root of 256583880 is about 635.4427895212.

The spelling of 256583880 in words is "two hundred fifty-six million, five hundred eighty-three thousand, eight hundred eighty".