256550112 has 288 divisors, whose sum is σ = 929698560. Its totient is φ = 67392000.

The previous prime is 256550093. The next prime is 256550117. The reversal of 256550112 is 211055652.

256550112 is a `hidden beast` number, since 2 + 5 + 655 + 0 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256550117) by changing a digit.

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, 1021987 + ... + 1022237.

It is an arithmetic number, because the mean of its divisors is an integer number (3228120).

Almost surely, 2^256550112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256550112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464849280).

256550112 is an abundant number, since it is smaller than the sum of its proper divisors (673148448).

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

256550112 is a wasteful number, since it uses less digits than its factorization.

256550112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 256550112 is about 16017.1817745819. The cubic root of 256550112 is about 635.4149122522.

The spelling of 256550112 in words is "two hundred fifty-six million, five hundred fifty thousand, one hundred twelve".