Palau is about 266 times smaller than New York.

New York is approximately 122,283 sq km, while Palau is approximately 459 sq km, making Palau 0.38% the size of New York. Meanwhile, the population of New York is ~19.4 million people (19.4 million fewer people live in Palau).
Tip: This to-scale comparison of New York vs. Palau uses the Mercator projection, which distorts the size of regions near the poles.