268458971 has 16 divisors (see below), whose sum is σ = 300146688. Its totient is φ = 238022400.

The previous prime is 268458941. The next prime is 268458973. The reversal of 268458971 is 179854862.

It is not a de Polignac number, because 268458971 - 2¹⁰ = 268457947 is a prime.

It is a super-2 number, since 2×268458971² = 144140438220757682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268458973) 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, 181766 + ... + 183236.

It is an arithmetic number, because the mean of its divisors is an integer number (18759168).

Almost surely, 2^268458971 is an apocalyptic number.

268458971 is a deficient number, since it is larger than the sum of its proper divisors (31687717).

268458971 is a wasteful number, since it uses less digits than its factorization.

268458971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882.

The product of its digits is 967680, while the sum is 50.

The square root of 268458971 is about 16384.7176051344. The cubic root of 268458971 is about 645.0984133631.

The spelling of 268458971 in words is "two hundred sixty-eight million, four hundred fifty-eight thousand, nine hundred seventy-one".