257407 has 2 divisors, whose sum is σ = 257408. Its totient is φ = 257406.

The previous prime is 257401. The next prime is 257437. The reversal of 257407 is 704752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257407 - 2³ = 257399 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128703 + 128704.

It is an arithmetic number, because the mean of its divisors is an integer number (128704).

2²⁵⁷⁴⁰⁷ is an apocalyptic number.

257407 is a deficient number, since it is larger than the sum of its proper divisors (1).

257407 is an equidigital number, since it uses as much as digits as its factorization.

257407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 257407 is about 507.3529343564. The cubic root of 257407 is about 63.6121563462.

The spelling of 257407 in words is "two hundred fifty-seven thousand, four hundred seven".