Puzzle to Puzzle you

While visiting a small town in the United States. I lost my overcoat in a bus. When I reported the matter to the bus company I was asked the number of the bus. Though I did not remember the exact number, I did remember that the bus number had a certain peculiarity about it. The number plate showed the bus number was a perfect square and also if the plate was turned upside down, the number would still be a perfect square—of course it was not? I came to know from the bus company they had only five hundred buses numbered from 1 to 500. From this I was able to deduce the bus number. Can you tell what was the number? Answer

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