414368417 has 2 divisors, whose sum is σ = 414368418. Its totient is φ = 414368416.

The previous prime is 414368393. The next prime is 414368431. The reversal of 414368417 is 714863414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414366736 + 1681 = 20356^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 414368417 - 2²⁶ = 347259553 is a prime.

It is not a weakly prime, because it can be changed into another prime (414368447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207184208 + 207184209.

It is an arithmetic number, because the mean of its divisors is an integer number (207184209).

Almost surely, 2^414368417 is an apocalyptic number.

It is an amenable number.

414368417 is a deficient number, since it is larger than the sum of its proper divisors (1).

414368417 is an equidigital number, since it uses as much as digits as its factorization.

414368417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 64512, while the sum is 38.

The square root of 414368417 is about 20356.0412899955. The cubic root of 414368417 is about 745.5250068719.

The spelling of 414368417 in words is "four hundred fourteen million, three hundred sixty-eight thousand, four hundred seventeen".