414312413 has 2 divisors, whose sum is σ = 414312414. Its totient is φ = 414312412.

The previous prime is 414312391. The next prime is 414312467. The reversal of 414312413 is 314213414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 283484569 + 130827844 = 16837^2 + 11438^2 .

It is a cyclic number.

It is not a de Polignac number, because 414312413 - 2¹⁸ = 414050269 is a prime.

It is equal to p_22058213 and since 414312413 and 22058213 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414312113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207156206 + 207156207.

It is an arithmetic number, because the mean of its divisors is an integer number (207156207).

Almost surely, 2^414312413 is an apocalyptic number.

It is an amenable number.

414312413 is a deficient number, since it is larger than the sum of its proper divisors (1).

414312413 is an equidigital number, since it uses as much as digits as its factorization.

414312413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 23.

The square root of 414312413 is about 20354.6656322328. The cubic root of 414312413 is about 745.4914181926.

Adding to 414312413 its reverse (314213414), we get a palindrome (728525827).

The spelling of 414312413 in words is "four hundred fourteen million, three hundred twelve thousand, four hundred thirteen".