429505 has 16 divisors (see below), whose sum is σ = 566784. Its totient is φ = 311040.

The previous prime is 429503. The next prime is 429509. The reversal of 429505 is 505924.

It is not a de Polignac number, because 429505 - 2¹ = 429503 is a prime.

It is a Duffinian number.

429505 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 429505.

It is not an unprimeable number, because it can be changed into a prime (429503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2554 + ... + 2716.

It is an arithmetic number, because the mean of its divisors is an integer number (35424).

2⁴²⁹⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

429505 is a deficient number, since it is larger than the sum of its proper divisors (137279).

429505 is a wasteful number, since it uses less digits than its factorization.

429505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 429505 is about 655.3663097841. The cubic root of 429505 is about 75.4494493714.

The spelling of 429505 in words is "four hundred twenty-nine thousand, five hundred five".