429885 has 24 divisors (see below), whose sum is σ = 766584. Its totient is φ = 222720.

The previous prime is 429881. The next prime is 429887. The reversal of 429885 is 588924.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 423801 = 78^2 + 651^2 .

It is not a de Polignac number, because 429885 - 2² = 429881 is a prime.

It is a super-2 number, since 2×429885² = 369602226450, which contains 22 as substring.

429885 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1729 + ... + 1961.

It is an arithmetic number, because the mean of its divisors is an integer number (31941).

2⁴²⁹⁸⁸⁵ is an apocalyptic number.

429885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429885 is a deficient number, since it is larger than the sum of its proper divisors (336699).

429885 is a wasteful number, since it uses less digits than its factorization.

429885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 282 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 429885 is about 655.6561598887. The cubic root of 429885 is about 75.4716938463.

The spelling of 429885 in words is "four hundred twenty-nine thousand, eight hundred eighty-five".