414252809 has 2 divisors, whose sum is σ = 414252810. Its totient is φ = 414252808.

The previous prime is 414252779. The next prime is 414252827. The reversal of 414252809 is 908252414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326886400 + 87366409 = 18080^2 + 9347^2 .

It is a cyclic number.

It is not a de Polignac number, because 414252809 - 2¹⁶ = 414187273 is a prime.

It is a super-3 number, since 3×414252809³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (414252829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207126404 + 207126405.

It is an arithmetic number, because the mean of its divisors is an integer number (207126405).

Almost surely, 2^414252809 is an apocalyptic number.

It is an amenable number.

414252809 is a deficient number, since it is larger than the sum of its proper divisors (1).

414252809 is an equidigital number, since it uses as much as digits as its factorization.

414252809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 414252809 is about 20353.2014435076. The cubic root of 414252809 is about 745.4556670701.

The spelling of 414252809 in words is "four hundred fourteen million, two hundred fifty-two thousand, eight hundred nine".