414189509 has 2 divisors, whose sum is σ = 414189510. Its totient is φ = 414189508.

The previous prime is 414189473. The next prime is 414189533. The reversal of 414189509 is 905981414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324792484 + 89397025 = 18022^2 + 9455^2 .

It is a cyclic number.

It is not a de Polignac number, because 414189509 - 2²⁰ = 413140933 is a prime.

It is a super-2 number, since 2×414189509² = 343105898731322162, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414183509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207094754 + 207094755.

It is an arithmetic number, because the mean of its divisors is an integer number (207094755).

Almost surely, 2^414189509 is an apocalyptic number.

It is an amenable number.

414189509 is a deficient number, since it is larger than the sum of its proper divisors (1).

414189509 is an equidigital number, since it uses as much as digits as its factorization.

414189509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 41.

The square root of 414189509 is about 20351.6463461804. The cubic root of 414189509 is about 745.4176952919.

The spelling of 414189509 in words is "four hundred fourteen million, one hundred eighty-nine thousand, five hundred nine".