413431307 has 2 divisors, whose sum is σ = 413431308. Its totient is φ = 413431306.

The previous prime is 413431301. The next prime is 413431423. The reversal of 413431307 is 703134314.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413431307 - 2²⁰ = 412382731 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413431301) 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, 206715653 + 206715654.

It is an arithmetic number, because the mean of its divisors is an integer number (206715654).

Almost surely, 2^413431307 is an apocalyptic number.

413431307 is a deficient number, since it is larger than the sum of its proper divisors (1).

413431307 is an equidigital number, since it uses as much as digits as its factorization.

413431307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 413431307 is about 20333.0102788544. The cubic root of 413431307 is about 744.9625715773.

The spelling of 413431307 in words is "four hundred thirteen million, four hundred thirty-one thousand, three hundred seven".