429888 has 28 divisors (see below), whose sum is σ = 1137920. Its totient is φ = 143232.

The previous prime is 429887. The next prime is 429889. The reversal of 429888 is 888924.

It is a happy number.

429888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (429887) and next prime (429889).

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 429888.

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 3 ways as a sum of consecutive naturals, for example, 928 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (40640).

2⁴²⁹⁸⁸⁸ is an apocalyptic number.

429888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

429888 is an abundant number, since it is smaller than the sum of its proper divisors (708032).

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

429888 is a wasteful number, since it uses less digits than its factorization.

429888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2244 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 429888 is about 655.6584476692. The cubic root of 429888 is about 75.4718694084.

It can be divided in two parts, 4 and 29888, that added together give a palindrome (29892).

The spelling of 429888 in words is "four hundred twenty-nine thousand, eight hundred eighty-eight".