416313407 has 2 divisors, whose sum is σ = 416313408. Its totient is φ = 416313406.

The previous prime is 416313397. The next prime is 416313413. The reversal of 416313407 is 704313614.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 416313407 - 2¹⁴ = 416297023 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416313407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416313437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208156703 + 208156704.

It is an arithmetic number, because the mean of its divisors is an integer number (208156704).

Almost surely, 2^416313407 is an apocalyptic number.

416313407 is a deficient number, since it is larger than the sum of its proper divisors (1).

416313407 is an equidigital number, since it uses as much as digits as its factorization.

416313407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 416313407 is about 20403.7596290488. The cubic root of 416313407 is about 746.6896514723.

The spelling of 416313407 in words is "four hundred sixteen million, three hundred thirteen thousand, four hundred seven".