Solution

$$\displaystyle {274625000 }={ \left( 2 \right) }^{ 3 }\times { \left( 5 \right) }^{ 3 }\times { \left( 5 \right) }^{ 3 }\times { \left( 13 \right) }^{ 3 }$$
$$\sqrt[3]{274625}=2 \times 5 \times 5 \times 13=650$$

$$\displaystyle \therefore $$ The cube of $$274625000$$ is $$650$$.