414185957 has 2 divisors, whose sum is σ = 414185958. Its totient is φ = 414185956.

The previous prime is 414185923. The next prime is 414185987. The reversal of 414185957 is 759581414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412333636 + 1852321 = 20306^2 + 1361^2 .

It is a cyclic number.

It is not a de Polignac number, because 414185957 - 2¹⁴ = 414169573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414185987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207092978 + 207092979.

It is an arithmetic number, because the mean of its divisors is an integer number (207092979).

Almost surely, 2^414185957 is an apocalyptic number.

It is an amenable number.

414185957 is a deficient number, since it is larger than the sum of its proper divisors (1).

414185957 is an equidigital number, since it uses as much as digits as its factorization.

414185957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 44.

The square root of 414185957 is about 20351.5590803260. The cubic root of 414185957 is about 745.4155644386.

The spelling of 414185957 in words is "four hundred fourteen million, one hundred eighty-five thousand, nine hundred fifty-seven".