256959417 has 16 divisors (see below), whose sum is σ = 402510528. Its totient is φ = 143753280.

The previous prime is 256959397. The next prime is 256959433. The reversal of 256959417 is 714959652.

It is not a de Polignac number, because 256959417 - 2⁸ = 256959161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256959457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299058 + ... + 299915.

It is an arithmetic number, because the mean of its divisors is an integer number (25156908).

Almost surely, 2^256959417 is an apocalyptic number.

It is an amenable number.

256959417 is a deficient number, since it is larger than the sum of its proper divisors (145551111).

256959417 is a wasteful number, since it uses less digits than its factorization.

256959417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599000.

The product of its digits is 680400, while the sum is 48.

The square root of 256959417 is about 16029.9537429152. The cubic root of 256959417 is about 635.7526504426.

The spelling of 256959417 in words is "two hundred fifty-six million, nine hundred fifty-nine thousand, four hundred seventeen".