Next Number

Copyright ©1997 by Paul Niquette. All rights reserved.

There are countless puzzles that look like this one.  Puzzles with a Purpose will try to present the more interesting ones, along with sophisticated methods for creating your own (see King for a Day). 
 
 
1, 15, 46, 100, 183, 301, 460, ... 
What is the next number?

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