288429 has 8 divisors (see below), whose sum is σ = 389760. Its totient is φ = 189696.

The previous prime is 288427. The next prime is 288433. The reversal of 288429 is 924882.

288429 = 175² + 176² + ... + 183².

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

It is not a de Polignac number, because 288429 - 2¹ = 288427 is a prime.

It is a d-powerful number, because it can be written as 2¹⁵ + 8⁵ + 4 + 8⁵ + 2¹⁷ + 9⁵ .

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 288429.

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 288429.

It is not an unprimeable number, because it can be changed into a prime (288427) 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, 372 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (48720).

2²⁸⁸⁴²⁹ is an apocalyptic number.

It is an amenable number.

288429 is a deficient number, since it is larger than the sum of its proper divisors (101331).

288429 is a wasteful number, since it uses less digits than its factorization.

288429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299.

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

The square root of 288429 is about 537.0558630161. The cubic root of 288429 is about 66.0713186822.

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

The spelling of 288429 in words is "two hundred eighty-eight thousand, four hundred twenty-nine".