What are the numbers divisible by 480?

480, 960, 1440, 1920, 2400, 2880, 3360, 3840, 4320, 4800, 5280, 5760, 6240, 6720, 7200, 7680, 8160, 8640, 9120, 9600, 10080, 10560, 11040, 11520, 12000, 12480, 12960, 13440, 13920, 14400, 14880, 15360, 15840, 16320, 16800, 17280, 17760, 18240, 18720, 19200, 19680, 20160, 20640, 21120, 21600, 22080, 22560, 23040, 23520, 24000, 24480, 24960, 25440, 25920, 26400, 26880, 27360, 27840, 28320, 28800, 29280, 29760, 30240, 30720, 31200, 31680, 32160, 32640, 33120, 33600, 34080, 34560, 35040, 35520, 36000, 36480, 36960, 37440, 37920, 38400, 38880, 39360, 39840, 40320, 40800, 41280, 41760, 42240, 42720, 43200, 43680, 44160, 44640, 45120, 45600, 46080, 46560, 47040, 47520, 48000, 48480, 48960, 49440, 49920, 50400, 50880, 51360, 51840, 52320, 52800, 53280, 53760, 54240, 54720, 55200, 55680, 56160, 56640, 57120, 57600, 58080, 58560, 59040, 59520, 60000, 60480, 60960, 61440, 61920, 62400, 62880, 63360, 63840, 64320, 64800, 65280, 65760, 66240, 66720, 67200, 67680, 68160, 68640, 69120, 69600, 70080, 70560, 71040, 71520, 72000, 72480, 72960, 73440, 73920, 74400, 74880, 75360, 75840, 76320, 76800, 77280, 77760, 78240, 78720, 79200, 79680, 80160, 80640, 81120, 81600, 82080, 82560, 83040, 83520, 84000, 84480, 84960, 85440, 85920, 86400, 86880, 87360, 87840, 88320, 88800, 89280, 89760, 90240, 90720, 91200, 91680, 92160, 92640, 93120, 93600, 94080, 94560, 95040, 95520, 96000, 96480, 96960, 97440, 97920, 98400, 98880, 99360, 99840

There is a total of 208 numbers (up to 100000) that are divisible by 480.
The sum of these numbers is 10433280.
The arithmetic mean of these numbers is 50160.

How to find the numbers divisible by 480?

Finding all the numbers that can be divided by 480 is essentially the same as searching for the multiples of 480: if a number N is a multiple of 480, then 480 is a divisor of N.

Indeed, if we assume that N is a multiple of 480, this means there exists an integer k such that:

$k \times 480 = N$

Conversely, the result of N divided by 480 is this same integer k (without any remainder):

$k = \frac{N}{480}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 480 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 480 less than 100000):

1 × 480 = 480
2 × 480 = 960
3 × 480 = 1440
...
207 × 480 = 99360
208 × 480 = 99840