414023993 has 2 divisors, whose sum is σ = 414023994. Its totient is φ = 414023992.

The previous prime is 414023983. The next prime is 414024067. The reversal of 414023993 is 399320414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380523049 + 33500944 = 19507^2 + 5788^2 .

It is a cyclic number.

It is not a de Polignac number, because 414023993 - 2¹⁸ = 413761849 is a prime.

It is not a weakly prime, because it can be changed into another prime (414023903) 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, 207011996 + 207011997.

It is an arithmetic number, because the mean of its divisors is an integer number (207011997).

Almost surely, 2^414023993 is an apocalyptic number.

It is an amenable number.

414023993 is a deficient number, since it is larger than the sum of its proper divisors (1).

414023993 is an equidigital number, since it uses as much as digits as its factorization.

414023993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 414023993 is about 20347.5795366427. The cubic root of 414023993 is about 745.3183889029.

The spelling of 414023993 in words is "four hundred fourteen million, twenty-three thousand, nine hundred ninety-three".