288480 has 48 divisors (see below), whose sum is σ = 910224. Its totient is φ = 76800.

The previous prime is 288467. The next prime is 288481. The reversal of 288480 is 84882.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 288480.

It is not an unprimeable number, because it can be changed into a prime (288481) 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, 180 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (18963).

2²⁸⁸⁴⁸⁰ is an apocalyptic number.

288480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455112).

288480 is an abundant number, since it is smaller than the sum of its proper divisors (621744).

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

288480 is a wasteful number, since it uses less digits than its factorization.

288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 288480 is about 537.1033420116. The cubic root of 288480 is about 66.0752126950.

The spelling of 288480 in words is "two hundred eighty-eight thousand, four hundred eighty".