414388193 has 2 divisors, whose sum is σ = 414388194. Its totient is φ = 414388192.

The previous prime is 414388181. The next prime is 414388213. The reversal of 414388193 is 391883414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246866944 + 167521249 = 15712^2 + 12943^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414388193 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 414388193.

It is not a weakly prime, because it can be changed into another prime (414388103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207194096 + 207194097.

It is an arithmetic number, because the mean of its divisors is an integer number (207194097).

Almost surely, 2^414388193 is an apocalyptic number.

It is an amenable number.

414388193 is a deficient number, since it is larger than the sum of its proper divisors (1).

414388193 is an equidigital number, since it uses as much as digits as its factorization.

414388193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 41.

The square root of 414388193 is about 20356.5270368008. The cubic root of 414388193 is about 745.5368669039.

The spelling of 414388193 in words is "four hundred fourteen million, three hundred eighty-eight thousand, one hundred ninety-three".