257218448 has 20 divisors (see below), whose sum is σ = 498790620. Its totient is φ = 128498304.

The previous prime is 257218433. The next prime is 257218513. The reversal of 257218448 is 844812752.

It can be written as a sum of positive squares in 2 ways, for example, as 86341264 + 170877184 = 9292^2 + 13072^2 .

It is a super-2 number, since 2×257218448² = 132322659983057408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14138 + ... + 26726.

It is an arithmetic number, because the mean of its divisors is an integer number (24939531).

Almost surely, 2^257218448 is an apocalyptic number.

It is an amenable number.

257218448 is a deficient number, since it is larger than the sum of its proper divisors (241572172).

257218448 is a wasteful number, since it uses less digits than its factorization.

257218448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874 (or 13868 counting only the distinct ones).

The product of its digits is 143360, while the sum is 41.

The square root of 257218448 is about 16038.0313006304. The cubic root of 257218448 is about 635.9662047098.

The spelling of 257218448 in words is "two hundred fifty-seven million, two hundred eighteen thousand, four hundred forty-eight".