409368413 has 2 divisors, whose sum is σ = 409368414. Its totient is φ = 409368412.

The previous prime is 409368409. The next prime is 409368419. The reversal of 409368413 is 314863904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 395095129 + 14273284 = 19877^2 + 3778^2 .

It is a cyclic number.

It is not a de Polignac number, because 409368413 - 2² = 409368409 is a prime.

It is equal to p_21808865 and since 409368413 and 21808865 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409368419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204684206 + 204684207.

It is an arithmetic number, because the mean of its divisors is an integer number (204684207).

Almost surely, 2^409368413 is an apocalyptic number.

It is an amenable number.

409368413 is a deficient number, since it is larger than the sum of its proper divisors (1).

409368413 is an equidigital number, since it uses as much as digits as its factorization.

409368413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 409368413 is about 20232.8547911559. The cubic root of 409368413 is about 742.5142219347.

The spelling of 409368413 in words is "four hundred nine million, three hundred sixty-eight thousand, four hundred thirteen".