According to ISMACS the Singer 457 is a domestic, not an industrial.
[TABLE="width: 938"]
[TR="bgcolor: #D5D5EA"]
[TD="align: left"]457[/TD]
[TD="width: 74, align: left"]1968-72[/TD]
[TD="width: 65, align: left"]Domestic[/TD]
[TD="width: 848, align: left"]"Stylist"; zigzag; horizontal rotary hook; flat cams; blind hem; tan;[/TD]
[TD="width: 125, align: left"]15x1[/TD]
[/TR]
[TR]
[TD="width: 92, align: left"]457K[/TD]
[TD="width: 74, align: left"]1969-72[/TD]
[TD="width: 65, align: left"]Domestic[/TD]
[TD="width: 848, align: left"]Zigzag; 3 built-in stitches; encl. motor. Beige[/TD]
[TD="width: 125, align: left"]15x1
[/TD]
[/TR]
[/TABLE]
It has an internal motor belt and a timing belt on the under side. If the machine will not take off it probably is in dire need of lubrication. It also could be the motor belt is too tight. Or the motor is worn out or gummed up.
Lots of things to check, but I would start with a thorough cleaning and oiling first.
Also the vertical shaft top gear is plastic and prone to breakage. That is the first thing to check.
Joe