416166431 has 2 divisors, whose sum is σ = 416166432. Its totient is φ = 416166430.

The previous prime is 416166389. The next prime is 416166451. The reversal of 416166431 is 134661614.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 416166431 - 2¹⁴ = 416150047 is a prime.

It is a super-2 number, since 2×416166431² = 346388996582555522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416166451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208083215 + 208083216.

It is an arithmetic number, because the mean of its divisors is an integer number (208083216).

Almost surely, 2^416166431 is an apocalyptic number.

416166431 is a deficient number, since it is larger than the sum of its proper divisors (1).

416166431 is an equidigital number, since it uses as much as digits as its factorization.

416166431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 32.

The square root of 416166431 is about 20400.1576219401. The cubic root of 416166431 is about 746.6017702641.

The spelling of 416166431 in words is "four hundred sixteen million, one hundred sixty-six thousand, four hundred thirty-one".