257416429 has 2 divisors, whose sum is σ = 257416430. Its totient is φ = 257416428.

The previous prime is 257416417. The next prime is 257416451. The reversal of 257416429 is 924614752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246427204 + 10989225 = 15698^2 + 3315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257416429 is a prime.

It is a super-2 number, since 2×257416429² = 132526435838224082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257416391 and 257416400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257416459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128708214 + 128708215.

It is an arithmetic number, because the mean of its divisors is an integer number (128708215).

Almost surely, 2^257416429 is an apocalyptic number.

It is an amenable number.

257416429 is a deficient number, since it is larger than the sum of its proper divisors (1).

257416429 is an equidigital number, since it uses as much as digits as its factorization.

257416429 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 40.

The square root of 257416429 is about 16044.2023485121. The cubic root of 257416429 is about 636.1293305611.

The spelling of 257416429 in words is "two hundred fifty-seven million, four hundred sixteen thousand, four hundred twenty-nine".