If you use the word "and" in naming numbers above 100, then, for example, 999 is named "nine hundred and ninety-nine". Considering this as four words, one of them hyphenated, the letter counts in the four words are 4, 7, 3 and 10. The product of these four numbers is 840.
There is one 3-digit number such that if you apply the above procedure, the final product of its four word lengths is the same as the original number. What is that number?