4 - 0.456 - (0.561 + 1.44) + 1.675*567

First, let's simplify the expression in the parentheses:
0.561 + 1.44 = 2.001

Now, let's substitute this back into the original expression:
4 - 0.456 - 2.001 + 1.675*567

Next, let's simplify the multiplication:
1.675*567 = 949.725

Substitute this back into the expression:
4 - 0.456 - 2.001 + 949.725

Finally, let's add and subtract these values:
4 - 0.456 - 2.001 + 949.725 = 951.268

Therefore, the result of the expression is 951.268.