I assume you have tried everything here? 1413 is not listed, but the same troubleshooting applies.
iPod: Cannot restore or update in iTunes with error 1415, 1417, 1418, 1428, 1429, 1430, 1436, or 1439
It could be an indication or a damaged or dying hard drive. I would recommend doing a disk diagnostic on the iPod's HD using the instructions given by turingtest2 in this older thread. He also covers what the resulting numbers indicate.
https://discussions.apple.com/thread/3784647?start=0&tstart=0
B-rock