429285 has 8 divisors (see below), whose sum is σ = 686880. Its totient is φ = 228944.

The previous prime is 429283. The next prime is 429329. The reversal of 429285 is 582924.

429285 = T₂₈₈ + T₂₈₉ + ... + T₂₉₇.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 429285 - 2¹ = 429283 is a prime.

It is a super-3 number, since 3×429285³ = 237333145844172375, which contains 333 as substring. Note that it is a super-d number also for d = 2.

429285 is a lucky number.

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 429285.

It is not an unprimeable number, because it can be changed into a prime (429281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14295 + ... + 14324.

It is an arithmetic number, because the mean of its divisors is an integer number (85860).

2⁴²⁹²⁸⁵ is an apocalyptic number.

It is an amenable number.

429285 is a deficient number, since it is larger than the sum of its proper divisors (257595).

429285 is a wasteful number, since it uses less digits than its factorization.

429285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28627.

The product of its digits is 5760, while the sum is 30.

The square root of 429285 is about 655.1984432216. The cubic root of 429285 is about 75.4365649939.

It can be divided in two parts, 429 and 285, that multiplied together give a triangular number (122265 = T₄₉₄).

The spelling of 429285 in words is "four hundred twenty-nine thousand, two hundred eighty-five".