257413840 has 20 divisors (see below), whose sum is σ = 598487364. Its totient is φ = 102965504.

The previous prime is 257413817. The next prime is 257413879. The reversal of 257413840 is 48314752.

It can be written as a sum of positive squares in 2 ways, for example, as 76457536 + 180956304 = 8744^2 + 13452^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×257413840³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257413796 and 257413805.

It is a congruent number.

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, 1608757 + ... + 1608916.

Almost surely, 2^257413840 is an apocalyptic number.

257413840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257413840 is an abundant number, since it is smaller than the sum of its proper divisors (341073524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257413840 is a wasteful number, since it uses less digits than its factorization.

257413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3217686 (or 3217680 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 257413840 is about 16044.1216649588. The cubic root of 257413840 is about 636.1271979021.

The spelling of 257413840 in words is "two hundred fifty-seven million, four hundred thirteen thousand, eight hundred forty".