414416609 has 2 divisors, whose sum is σ = 414416610. Its totient is φ = 414416608.

The previous prime is 414416603. The next prime is 414416623. The reversal of 414416609 is 906614414.

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., 333865984 + 80550625 = 18272^2 + 8975^2 .

It is a cyclic number.

It is not a de Polignac number, because 414416609 - 2¹² = 414412513 is a prime.

It is a super-2 number, since 2×414416609² = 343482251630117762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414416603) 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, 207208304 + 207208305.

It is an arithmetic number, because the mean of its divisors is an integer number (207208305).

Almost surely, 2^414416609 is an apocalyptic number.

It is an amenable number.

414416609 is a deficient number, since it is larger than the sum of its proper divisors (1).

414416609 is an equidigital number, since it uses as much as digits as its factorization.

414416609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 414416609 is about 20357.2249827917. The cubic root of 414416609 is about 745.5539078426.

The spelling of 414416609 in words is "four hundred fourteen million, four hundred sixteen thousand, six hundred nine".