413000309 has 2 divisors, whose sum is σ = 413000310. Its totient is φ = 413000308.

The previous prime is 413000293. The next prime is 413000353. The reversal of 413000309 is 903000314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393903409 + 19096900 = 19847^2 + 4370^2 .

It is a cyclic number.

It is not a de Polignac number, because 413000309 - 2⁴ = 413000293 is a 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 (413000369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206500154 + 206500155.

It is an arithmetic number, because the mean of its divisors is an integer number (206500155).

Almost surely, 2^413000309 is an apocalyptic number.

It is an amenable number.

413000309 is a deficient number, since it is larger than the sum of its proper divisors (1).

413000309 is an equidigital number, since it uses as much as digits as its factorization.

413000309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 413000309 is about 20322.4090353481. The cubic root of 413000309 is about 744.7036095595.

The spelling of 413000309 in words is "four hundred thirteen million, three hundred nine", and thus it is an aban number.