When this net of six squares is cut out and folded to form a cube, what is the product of the numbers on the four faces adjacent to the one labeled with a "1"?
[asy]
draw(unitsquare);
draw(shift(1,0)*unitsquare);
draw(shift(1,-1)*unitsquare);
draw(shift(1,1)*unitsquare);
draw(shift(2,1)*unitsquare);
draw(shift(2,2)*unitsquare);
label("4",(0.5,0.5));
label("5",(1.5,0.5));
label("6",(1.5,-0.5));
label("3",(1.5,1.5));
label("2",(2.5,1.5));
label("1",(2.5,2.5));
[/asy]