429084 has 48 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 137088.

The previous prime is 429083. The next prime is 429101. The reversal of 429084 is 480924.

It is a super-2 number, since 2×429084² = 368226158112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 429084.

It is not an unprimeable number, because it can be changed into a prime (429083) 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, 3064 + ... + 3200.

It is an arithmetic number, because the mean of its divisors is an integer number (24150).

2⁴²⁹⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579600).

429084 is an abundant number, since it is smaller than the sum of its proper divisors (730116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429084 is a wasteful number, since it uses less digits than its factorization.

429084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 429084 is about 655.0450366196. The cubic root of 429084 is about 75.4247895093.

The spelling of 429084 in words is "four hundred twenty-nine thousand, eighty-four".