pattern - What is the next number? 24,54,90,120,168,210,240,288,360,440

Question : What is the next number in the following sequence? (not finite)

$$\large24,54,90,120,168,210,240,288,360,440,\dots$$

My Solution

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  I'm trying a closed form solution

  
  


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  I tried computing the differences- they don't converge

  
  



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  Tried finding the relationship between their binary equivalents

  
  


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  A trivial observation : all numbers are divisible by $6$ except $440$

  
  

Edit-1: Seeing the downvotes, I want to clarify something: All I'm trying to do is to find a solution (an expresssion) that represents the sequence

Edit-2 : This question was given by my Math Teacher as a fun exercise in puzzle solving . It is not for a graded homework