414038393 has 2 divisors, whose sum is σ = 414038394. Its totient is φ = 414038392.

The previous prime is 414038371. The next prime is 414038411. The reversal of 414038393 is 393830414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269846329 + 144192064 = 16427^2 + 12008^2 .

It is a cyclic number.

It is not a de Polignac number, because 414038393 - 2¹⁰ = 414037369 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (414038333) 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, 207019196 + 207019197.

It is an arithmetic number, because the mean of its divisors is an integer number (207019197).

Almost surely, 2^414038393 is an apocalyptic number.

It is an amenable number.

414038393 is a deficient number, since it is larger than the sum of its proper divisors (1).

414038393 is an equidigital number, since it uses as much as digits as its factorization.

414038393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 414038393 is about 20347.9333840073. The cubic root of 414038393 is about 745.3270296745.

The spelling of 414038393 in words is "four hundred fourteen million, thirty-eight thousand, three hundred ninety-three".