288420 has 96 divisors (see below), whose sum is σ = 967680. Its totient is φ = 63360.

The previous prime is 288413. The next prime is 288427. The reversal of 288420 is 24882.

288420 is a nontrivial binomial coefficient, being equal to C(760, 2).

It is an interprime number because it is at equal distance from previous prime (288413) and next prime (288427).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288420.

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 31 ways as a sum of consecutive naturals, for example, 12529 + ... + 12551.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2²⁸⁸⁴²⁰ is an apocalyptic number.

288420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

288420 is the 759-th triangular number and also the 380-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

288420 is an abundant number, since it is smaller than the sum of its proper divisors (679260).

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

288420 is a wasteful number, since it uses less digits than its factorization.

288420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 288420 is about 537.0474839341. The cubic root of 288420 is about 66.0706314558.

Adding to 288420 its product of nonzero digits (1024), we get a square (289444 = 538²).

It can be divided in two parts, 28 and 8420, that added together give a palindrome (8448).

The spelling of 288420 in words is "two hundred eighty-eight thousand, four hundred twenty".