256986873 has 24 divisors (see below), whose sum is σ = 436101120. Its totient is φ = 143768160.

The previous prime is 256986859. The next prime is 256986881. The reversal of 256986873 is 378689652.

It is a happy number.

256986873 is a `hidden beast` number, since 2 + 569 + 8 + 6 + 8 + 73 = 666.

It is not a de Polignac number, because 256986873 - 2⁴ = 256986857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256986803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98553 + ... + 101126.

It is an arithmetic number, because the mean of its divisors is an integer number (18170880).

Almost surely, 2^256986873 is an apocalyptic number.

It is an amenable number.

256986873 is a deficient number, since it is larger than the sum of its proper divisors (179114247).

256986873 is a wasteful number, since it uses less digits than its factorization.

256986873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199709 (or 199706 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 256986873 is about 16030.8101167720. The cubic root of 256986873 is about 635.7752929326.

The spelling of 256986873 in words is "two hundred fifty-six million, nine hundred eighty-six thousand, eight hundred seventy-three".