Number Gossip
(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)
Unique Properties of 449
- 449 is the largest number whose factorial is less than 101000
- 449 is the smallest prime that can be constructed by concatenating two non-trivial squares
- 449 is the smallest prime number whose individual digits are composite perfect squares
- 449 is the earliest 3-digit prime to appear in the decimal expansion of π2/6
- 449 is the smallest prime with semiprime digits (4, 6, 9)
- 449 is the smallest prime such that the sum of the squares of its digits equals the sum of the squares of the digits of its index (449 is the 87nd prime and the sum of the squares of digits of both is 113)