414344393 has 2 divisors, whose sum is σ = 414344394. Its totient is φ = 414344392.

The previous prime is 414344347. The next prime is 414344461. The reversal of 414344393 is 393443414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279157264 + 135187129 = 16708^2 + 11627^2 .

It is a cyclic number.

It is not a de Polignac number, because 414344393 - 2⁸ = 414344137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_22059809 and since 414344393 and 22059809 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (414304393) 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 as a sum of consecutive naturals, namely, 207172196 + 207172197.

It is an arithmetic number, because the mean of its divisors is an integer number (207172197).

Almost surely, 2^414344393 is an apocalyptic number.

It is an amenable number.

414344393 is a deficient number, since it is larger than the sum of its proper divisors (1).

414344393 is an equidigital number, since it uses as much as digits as its factorization.

414344393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62208, while the sum is 35.

The square root of 414344393 is about 20355.4511863530. The cubic root of 414344393 is about 745.5105987284.

It can be divided in two parts, 41 and 4344393, that added together give a palindrome (4344434).

The spelling of 414344393 in words is "four hundred fourteen million, three hundred forty-four thousand, three hundred ninety-three".