414713309 has 2 divisors, whose sum is σ = 414713310. Its totient is φ = 414713308.

The previous prime is 414713269. The next prime is 414713359. The reversal of 414713309 is 903317414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408929284 + 5784025 = 20222^2 + 2405^2 .

It is a cyclic number.

It is not a de Polignac number, because 414713309 - 2²⁰ = 413664733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414713359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207356654 + 207356655.

It is an arithmetic number, because the mean of its divisors is an integer number (207356655).

Almost surely, 2^414713309 is an apocalyptic number.

It is an amenable number.

414713309 is a deficient number, since it is larger than the sum of its proper divisors (1).

414713309 is an equidigital number, since it uses as much as digits as its factorization.

414713309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 414713309 is about 20364.5110179449. The cubic root of 414713309 is about 745.7317908956.

The spelling of 414713309 in words is "four hundred fourteen million, seven hundred thirteen thousand, three hundred nine".