429024 has 48 divisors (see below), whose sum is σ = 1164240. Its totient is φ = 138240.

The previous prime is 429017. The next prime is 429043. The reversal of 429024 is 420924.

429024 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 655²-1.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

429024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3882 + ... + 3990.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2⁴²⁹⁰²⁴ 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 429024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582120).

429024 is an abundant number, since it is smaller than the sum of its proper divisors (735216).

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

429024 is a wasteful number, since it uses less digits than its factorization.

429024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 429024 is about 654.9992366408. Note that the first 3 decimals coincide. The cubic root of 429024 is about 75.4212737266.

Adding to 429024 its reverse (420924), we get a palindrome (849948).

Subtracting from 429024 its reverse (420924), we obtain a square (8100 = 90²).

The spelling of 429024 in words is "four hundred twenty-nine thousand, twenty-four".