A number x is equal to 7*24*48*60. What is the smallest positive integer y such that the product xy is a perfect cube?
x==7*24*48*60==483,840 = 2^9 * 3^3 * 5 * 7
y==5^2 x 7^2 ==1,225
483,840 x 1,225 ==592,704,000
592,704,000^(1/3) == 840
