256807401 has 8 divisors (see below), whose sum is σ = 360431520. Its totient is φ = 162194112.

The previous prime is 256807393. The next prime is 256807429. The reversal of 256807401 is 104708652.

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

It is not a de Polignac number, because 256807401 - 2³ = 256807393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256807301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2252640 + ... + 2252753.

It is an arithmetic number, because the mean of its divisors is an integer number (45053940).

Almost surely, 2^256807401 is an apocalyptic number.

It is an amenable number.

256807401 is a deficient number, since it is larger than the sum of its proper divisors (103624119).

256807401 is a wasteful number, since it uses less digits than its factorization.

256807401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505415.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 256807401 is about 16025.2114182622. The cubic root of 256807401 is about 635.6272562714.

The spelling of 256807401 in words is "two hundred fifty-six million, eight hundred seven thousand, four hundred one".