use Int.Parse, don't cast a string to an int
var ss=_someClassDataSource.Sum(s=>int.Parse(s.BreakdownCover));
If you're doing VB.NET then use
var ss=_someClassDataSource.Sum(s=>Integer.Parse(s.BreakdownCover));
Here is why you can't cast string to int:
Because the explicit cast isn't implemented... ToString() is a general
method (implemented in System.Object) and if string would implement
the cast that would beg the question if all other classes need to
implement it too...
It would potentially be better to not use Convert.ToInt32() because Convert.ToInt32 will still return a value when the string is null while int.Parse will throw. You might get unexpected results with Convert.ToInt32. Also see this question Whats the main difference between int.Parse() and Convert.ToInt32
Of course, this is based on the context as @Andy has pointed out. If you are ok with NULL being treated as 0 then either method will work.