407257 has 2 divisors, whose sum is σ = 407258. Its totient is φ = 407256.

The previous prime is 407249. The next prime is 407263. The reversal of 407257 is 752704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337561 + 69696 = 581^2 + 264^2 .

It is a cyclic number.

It is not a de Polignac number, because 407257 - 2³ = 407249 is a prime.

407257 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (407207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203628 + 203629.

It is an arithmetic number, because the mean of its divisors is an integer number (203629).

2⁴⁰⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

407257 is a deficient number, since it is larger than the sum of its proper divisors (1).

407257 is an equidigital number, since it uses as much as digits as its factorization.

407257 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 407257 is about 638.1669060677. The cubic root of 407257 is about 74.1235457515.

The spelling of 407257 in words is "four hundred seven thousand, two hundred fifty-seven".