Henry Ernest Dudeney/Modern Puzzles/94 - Adding their Cubes

by : $94$

 * Adding their Cubes
 * ''The numbers $407$ and $370$ have this peculiarity, that they exactly equal the sum of the cubes of their digits.
 * Thus the cube of $4$ is $64$, the cube of $0$ is $0$, and the cube of $7$ is $343$.
 * Add together $64$, $0$ and $343$, and you get $407$.
 * Again, the cube of $3$ ($27$), added to the cube of $7$ ($343$), is $370$.
 * Can you find a number not containing a nought that will work in the same way?
 * Of course, we bar the absurd case of $1$.