413411213 has 8 divisors (see below), whose sum is σ = 420865176. Its totient is φ = 405979200.

The previous prime is 413411209. The next prime is 413411221. The reversal of 413411213 is 312114314.

It can be written as a sum of positive squares in 4 ways, for example, as 386884 + 413024329 = 622^2 + 20323^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413411213 - 2² = 413411209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413411413) 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 in 7 ways as a sum of consecutive naturals, for example, 35195 + ... + 45447.

It is an arithmetic number, because the mean of its divisors is an integer number (52608147).

Almost surely, 2^413411213 is an apocalyptic number.

It is an amenable number.

413411213 is a deficient number, since it is larger than the sum of its proper divisors (7453963).

413411213 is a wasteful number, since it uses less digits than its factorization.

413411213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10975.

The product of its digits is 288, while the sum is 20.

The square root of 413411213 is about 20332.5161502456. The cubic root of 413411213 is about 744.9505022442.

Adding to 413411213 its reverse (312114314), we get a palindrome (725525527).

The spelling of 413411213 in words is "four hundred thirteen million, four hundred eleven thousand, two hundred thirteen".