413337409 has 2 divisors, whose sum is σ = 413337410. Its totient is φ = 413337408.

The previous prime is 413337391. The next prime is 413337433. The reversal of 413337409 is 904733314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251920384 + 161417025 = 15872^2 + 12705^2 .

It is a cyclic number.

It is not a de Polignac number, because 413337409 - 2⁹ = 413336897 is a prime.

It is not a weakly prime, because it can be changed into another prime (413337499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206668704 + 206668705.

It is an arithmetic number, because the mean of its divisors is an integer number (206668705).

Almost surely, 2^413337409 is an apocalyptic number.

It is an amenable number.

413337409 is a deficient number, since it is larger than the sum of its proper divisors (1).

413337409 is an equidigital number, since it uses as much as digits as its factorization.

413337409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 413337409 is about 20330.7011438366. The cubic root of 413337409 is about 744.9061689854.

The spelling of 413337409 in words is "four hundred thirteen million, three hundred thirty-seven thousand, four hundred nine".