406345417 has 2 divisors, whose sum is σ = 406345418. Its totient is φ = 406345416.

The previous prime is 406345397. The next prime is 406345451. The reversal of 406345417 is 714543604.

It is an a-pointer prime, because the next prime (406345451) can be obtained adding 406345417 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244953801 + 161391616 = 15651^2 + 12704^2 .

It is a cyclic number.

It is not a de Polignac number, because 406345417 - 2²⁷ = 272127689 is a prime.

It is not a weakly prime, because it can be changed into another prime (406345487) 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, 203172708 + 203172709.

It is an arithmetic number, because the mean of its divisors is an integer number (203172709).

Almost surely, 2^406345417 is an apocalyptic number.

It is an amenable number.

406345417 is a deficient number, since it is larger than the sum of its proper divisors (1).

406345417 is an equidigital number, since it uses as much as digits as its factorization.

406345417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 406345417 is about 20158.0112362306. The cubic root of 406345417 is about 740.6819966628.

The spelling of 406345417 in words is "four hundred six million, three hundred forty-five thousand, four hundred seventeen".