414706009 has 2 divisors, whose sum is σ = 414706010. Its totient is φ = 414706008.

The previous prime is 414706001. The next prime is 414706013. The reversal of 414706009 is 900607414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414000409 + 705600 = 20347^2 + 840^2 .

It is a cyclic number.

It is not a de Polignac number, because 414706009 - 2³ = 414706001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414706001) 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, 207353004 + 207353005.

It is an arithmetic number, because the mean of its divisors is an integer number (207353005).

Almost surely, 2^414706009 is an apocalyptic number.

It is an amenable number.

414706009 is a deficient number, since it is larger than the sum of its proper divisors (1).

414706009 is an equidigital number, since it uses as much as digits as its factorization.

414706009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 414706009 is about 20364.3317837831. The cubic root of 414706009 is about 745.7274152833.

The spelling of 414706009 in words is "four hundred fourteen million, seven hundred six thousand, nine".