429509 has 2 divisors, whose sum is σ = 429510. Its totient is φ = 429508.

The previous prime is 429503. The next prime is 429511. The reversal of 429509 is 905924.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 429025 + 484 = 655^2 + 22^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-429509 is a prime.

Together with 429511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429509.

It is not a weakly prime, because it can be changed into another prime (429503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214754 + 214755.

It is an arithmetic number, because the mean of its divisors is an integer number (214755).

2⁴²⁹⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

429509 is a deficient number, since it is larger than the sum of its proper divisors (1).

429509 is an equidigital number, since it uses as much as digits as its factorization.

429509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 429509 is about 655.3693615054. The cubic root of 429509 is about 75.4496835921.

The spelling of 429509 in words is "four hundred twenty-nine thousand, five hundred nine".