429288 has 32 divisors (see below), whose sum is σ = 1109760. Its totient is φ = 138240.

The previous prime is 429283. The next prime is 429329. The reversal of 429288 is 882924.

It is a congruent number.

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, 456 + ... + 1032.

It is an arithmetic number, because the mean of its divisors is an integer number (34680).

2⁴²⁹²⁸⁸ 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 429288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554880).

429288 is an abundant number, since it is smaller than the sum of its proper divisors (680472).

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

429288 is a wasteful number, since it uses less digits than its factorization.

429288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 613 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 429288 is about 655.2007326003. The cubic root of 429288 is about 75.4367407195.

It can be divided in two parts, 429 and 288, that added together give a palindrome (717).

The spelling of 429288 in words is "four hundred twenty-nine thousand, two hundred eighty-eight".