413384369 has 2 divisors, whose sum is σ = 413384370. Its totient is φ = 413384368.

The previous prime is 413384351. The next prime is 413384381. The reversal of 413384369 is 963483314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 387577969 + 25806400 = 19687^2 + 5080^2 .

It is a cyclic number.

It is not a de Polignac number, because 413384369 - 2²⁰ = 412335793 is a prime.

It is a super-2 number, since 2×413384369² = 341773273067056322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413384329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206692184 + 206692185.

It is an arithmetic number, because the mean of its divisors is an integer number (206692185).

Almost surely, 2^413384369 is an apocalyptic number.

It is an amenable number.

413384369 is a deficient number, since it is larger than the sum of its proper divisors (1).

413384369 is an equidigital number, since it uses as much as digits as its factorization.

413384369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 186624, while the sum is 41.

The square root of 413384369 is about 20331.8560146387. The cubic root of 413384369 is about 744.9343779564.

The spelling of 413384369 in words is "four hundred thirteen million, three hundred eighty-four thousand, three hundred sixty-nine".