Which of these numbers 6400, 125, 261, and 4913 is not a perfect cube?

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To determine whether a number is a perfect cube, calculate its cube root and check if cubing the integer part of the cube root equals the original number.

- For **6400**, its cube root is approximately $$18.9$$, which is not an integer. Hence, 6400 is not a perfect cube.  
- For **125**, its cube root is $$5$$, which is an integer. Thus, 125 is a perfect cube.  
- For **261**, its cube root is approximately $$6.4$$, which is not an integer. Hence, 261 is not a perfect cube.  
- For **4913**, its cube root is $$17$$, which is an integer. Thus, 4913 is a perfect cube.

Therefore, the number that is not a perfect cube among the given options is **6400**.

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