408216317 has 2 divisors, whose sum is σ = 408216318. Its totient is φ = 408216316.

The previous prime is 408216307. The next prime is 408216323. The reversal of 408216317 is 713612804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275759236 + 132457081 = 16606^2 + 11509^2 .

It is a cyclic number.

It is not a de Polignac number, because 408216317 - 2⁶ = 408216253 is a prime.

It is a super-2 number, since 2×408216317² = 333281122930088978, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408216307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204108158 + 204108159.

It is an arithmetic number, because the mean of its divisors is an integer number (204108159).

Almost surely, 2^408216317 is an apocalyptic number.

It is an amenable number.

408216317 is a deficient number, since it is larger than the sum of its proper divisors (1).

408216317 is an equidigital number, since it uses as much as digits as its factorization.

408216317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 408216317 is about 20204.3638108207. The cubic root of 408216317 is about 741.8170085383.

The spelling of 408216317 in words is "four hundred eight million, two hundred sixteen thousand, three hundred seventeen".