256972799 has 8 divisors (see below), whose sum is σ = 281471760. Its totient is φ = 233516416.

The previous prime is 256972787. The next prime is 256972801. The reversal of 256972799 is 997279652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256972799 - 2²⁰ = 255924223 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256972099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260129 + ... + 261114.

It is an arithmetic number, because the mean of its divisors is an integer number (35183970).

Almost surely, 2^256972799 is an apocalyptic number.

256972799 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

256972799 is a deficient number, since it is larger than the sum of its proper divisors (24498961).

256972799 is a wasteful number, since it uses less digits than its factorization.

256972799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521289.

The product of its digits is 4286520, while the sum is 56.

The square root of 256972799 is about 16030.3711435512. The cubic root of 256972799 is about 635.7636865488.

The spelling of 256972799 in words is "two hundred fifty-six million, nine hundred seventy-two thousand, seven hundred ninety-nine".