288414 has 48 divisors (see below), whose sum is σ = 752400. Its totient is φ = 81648.

The previous prime is 288413. The next prime is 288427. The reversal of 288414 is 414882.

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

It is a plaindrome in base 16.

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 288414.

It is not an unprimeable number, because it can be changed into a prime (288413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2592 + ... + 2700.

It is an arithmetic number, because the mean of its divisors is an integer number (15675).

2²⁸⁸⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376200).

288414 is an abundant number, since it is smaller than the sum of its proper divisors (463986).

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

288414 is a wasteful number, since it uses less digits than its factorization.

288414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 288414 is about 537.0418978069. The cubic root of 288414 is about 66.0701732970.

The spelling of 288414 in words is "two hundred eighty-eight thousand, four hundred fourteen".