414416117 has 2 divisors, whose sum is σ = 414416118. Its totient is φ = 414416116.

The previous prime is 414416083. The next prime is 414416141. The reversal of 414416117 is 711614414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402644356 + 11771761 = 20066^2 + 3431^2 .

It is a cyclic number.

It is not a de Polignac number, because 414416117 - 2¹⁰ = 414415093 is a prime.

It is equal to p_22063448 and since 414416117 and 22063448 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414416117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414416017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207208058 + 207208059.

It is an arithmetic number, because the mean of its divisors is an integer number (207208059).

Almost surely, 2^414416117 is an apocalyptic number.

It is an amenable number.

414416117 is a deficient number, since it is larger than the sum of its proper divisors (1).

414416117 is an equidigital number, since it uses as much as digits as its factorization.

414416117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2688, while the sum is 29.

The square root of 414416117 is about 20357.2128986264. The cubic root of 414416117 is about 745.5536127992.

The spelling of 414416117 in words is "four hundred fourteen million, four hundred sixteen thousand, one hundred seventeen".