414400213 has 2 divisors, whose sum is σ = 414400214. Its totient is φ = 414400212.

The previous prime is 414400171. The next prime is 414400237. The reversal of 414400213 is 312004414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293025924 + 121374289 = 17118^2 + 11017^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414400213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414400513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207200106 + 207200107.

It is an arithmetic number, because the mean of its divisors is an integer number (207200107).

Almost surely, 2^414400213 is an apocalyptic number.

It is an amenable number.

414400213 is a deficient number, since it is larger than the sum of its proper divisors (1).

414400213 is an equidigital number, since it uses as much as digits as its factorization.

414400213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 414400213 is about 20356.8222716612. The cubic root of 414400213 is about 745.5440753352.

Adding to 414400213 its reverse (312004414), we get a palindrome (726404627).

The spelling of 414400213 in words is "four hundred fourteen million, four hundred thousand, two hundred thirteen".