413723257 has 2 divisors, whose sum is σ = 413723258. Its totient is φ = 413723256.

The previous prime is 413723249. The next prime is 413723263. The reversal of 413723257 is 752327314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 363893776 + 49829481 = 19076^2 + 7059^2 .

It is a cyclic number.

It is not a de Polignac number, because 413723257 - 2³ = 413723249 is a prime.

It is not a weakly prime, because it can be changed into another prime (113723257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206861628 + 206861629.

It is an arithmetic number, because the mean of its divisors is an integer number (206861629).

Almost surely, 2^413723257 is an apocalyptic number.

It is an amenable number.

413723257 is a deficient number, since it is larger than the sum of its proper divisors (1).

413723257 is an equidigital number, since it uses as much as digits as its factorization.

413723257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 34.

The square root of 413723257 is about 20340.1882243012. The cubic root of 413723257 is about 745.1378853834.

The spelling of 413723257 in words is "four hundred thirteen million, seven hundred twenty-three thousand, two hundred fifty-seven".