413414009 has 2 divisors, whose sum is σ = 413414010. Its totient is φ = 413414008.

The previous prime is 413413981. The next prime is 413414039. The reversal of 413414009 is 900414314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 355699600 + 57714409 = 18860^2 + 7597^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413414009 is a prime.

It is a super-2 number, since 2×413414009² = 341822285674904162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (413414039) 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, 206707004 + 206707005.

It is an arithmetic number, because the mean of its divisors is an integer number (206707005).

Almost surely, 2^413414009 is an apocalyptic number.

It is an amenable number.

413414009 is a deficient number, since it is larger than the sum of its proper divisors (1).

413414009 is an equidigital number, since it uses as much as digits as its factorization.

413414009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 413414009 is about 20332.5849069910. The cubic root of 413414009 is about 744.9521816672.

The spelling of 413414009 in words is "four hundred thirteen million, four hundred fourteen thousand, nine".