459509 has 2 divisors, whose sum is σ = 459510. Its totient is φ = 459508.

The previous prime is 459479. The next prime is 459521. The reversal of 459509 is 905954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 448900 + 10609 = 670^2 + 103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-459509 is a prime.

It is a super-2 number, since 2×459509² = 422297042162, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (459209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 229754 + 229755.

It is an arithmetic number, because the mean of its divisors is an integer number (229755).

2⁴⁵⁹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

459509 is a deficient number, since it is larger than the sum of its proper divisors (1).

459509 is an equidigital number, since it uses as much as digits as its factorization.

459509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 459509 is about 677.8709316677. The cubic root of 459509 is about 77.1669509625.

The spelling of 459509 in words is "four hundred fifty-nine thousand, five hundred nine".