417490217 has 2 divisors, whose sum is σ = 417490218. Its totient is φ = 417490216.

The previous prime is 417490207. The next prime is 417490247. The reversal of 417490217 is 712094714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 366952336 + 50537881 = 19156^2 + 7109^2 .

It is a cyclic number.

It is not a de Polignac number, because 417490217 - 2²² = 413295913 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (417490207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208745108 + 208745109.

It is an arithmetic number, because the mean of its divisors is an integer number (208745109).

Almost surely, 2^417490217 is an apocalyptic number.

It is an amenable number.

417490217 is a deficient number, since it is larger than the sum of its proper divisors (1).

417490217 is an equidigital number, since it uses as much as digits as its factorization.

417490217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 417490217 is about 20432.5773459933. The cubic root of 417490217 is about 747.3925555572.

The spelling of 417490217 in words is "four hundred seventeen million, four hundred ninety thousand, two hundred seventeen".