256306050 has 288 divisors, whose sum is σ = 926190720. Its totient is φ = 49075200.

The previous prime is 256306033. The next prime is 256306051. The reversal of 256306050 is 50603652.

256306050 is a `hidden beast` number, since 2 + 56 + 3 + 0 + 605 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (256306051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 450166 + ... + 450734.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^256306050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256306050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

256306050 is an abundant number, since it is smaller than the sum of its proper divisors (669884670).

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

256306050 is a wasteful number, since it uses less digits than its factorization.

256306050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 256306050 is about 16009.5612057295. The cubic root of 256306050 is about 635.2133534010.

The spelling of 256306050 in words is "two hundred fifty-six million, three hundred six thousand, fifty".