417374369 has 2 divisors, whose sum is σ = 417374370. Its totient is φ = 417374368.

The previous prime is 417374357. The next prime is 417374371. The reversal of 417374369 is 963473714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 387617344 + 29757025 = 19688^2 + 5455^2 .

It is a cyclic number.

It is not a de Polignac number, because 417374369 - 2²⁸ = 148938913 is a prime.

It is a super-2 number, since 2×417374369² = 348402727796296322, which contains 22 as substring.

Together with 417374371, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (417374389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208687184 + 208687185.

It is an arithmetic number, because the mean of its divisors is an integer number (208687185).

Almost surely, 2^417374369 is an apocalyptic number.

It is an amenable number.

417374369 is a deficient number, since it is larger than the sum of its proper divisors (1).

417374369 is an equidigital number, since it uses as much as digits as its factorization.

417374369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 381024, while the sum is 44.

The square root of 417374369 is about 20429.7422646494. The cubic root of 417374369 is about 747.3234186536.

The spelling of 417374369 in words is "four hundred seventeen million, three hundred seventy-four thousand, three hundred sixty-nine".