417874431209 has 2 divisors, whose sum is σ = 417874431210. Its totient is φ = 417874431208.

The previous prime is 417874431133. The next prime is 417874431211. The reversal of 417874431209 is 902134478714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221384365225 + 196490065984 = 470515^2 + 443272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-417874431209 is a prime.

It is a Sophie Germain prime.

Together with 417874431211, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (417874431269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208937215604 + 208937215605.

It is an arithmetic number, because the mean of its divisors is an integer number (208937215605).

Almost surely, 2^417874431209 is an apocalyptic number.

It is an amenable number.

417874431209 is a deficient number, since it is larger than the sum of its proper divisors (1).

417874431209 is an equidigital number, since it uses as much as digits as its factorization.

417874431209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 417874431209 in words is "four hundred seventeen billion, eight hundred seventy-four million, four hundred thirty-one thousand, two hundred nine".