408016967 has 2 divisors, whose sum is σ = 408016968. Its totient is φ = 408016966.

The previous prime is 408016957. The next prime is 408016969. The reversal of 408016967 is 769610804.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 408016967 - 2¹⁴ = 408000583 is a prime.

Together with 408016969, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (408016969) 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, 204008483 + 204008484.

It is an arithmetic number, because the mean of its divisors is an integer number (204008484).

Almost surely, 2^408016967 is an apocalyptic number.

408016967 is a deficient number, since it is larger than the sum of its proper divisors (1).

408016967 is an equidigital number, since it uses as much as digits as its factorization.

408016967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 408016967 is about 20199.4298681918. The cubic root of 408016967 is about 741.6962349081.

The spelling of 408016967 in words is "four hundred eight million, sixteen thousand, nine hundred sixty-seven".