463

This number is a prime.

+ Divide 463 (a prime) by 595 (a palindrome) to obtain an excellent approximation to the common logarithm of 6.

+ The smallest multidigit prime such that both the sum of digits and product of digits of its square remain square. [Russo]

+ 463 meters is exactly one-fourth of an international nautical mile. [Honaker]

+ The entry to the Duomo in Florence, from the Porta della Mandorla on the north side of the Cattedrale di S. Maria del Fiore, contains exactly 463 steps.

+ 463 on a cell phone is the numbers pressed to spell God. [Gregor]

+ The first prime whose digits form a scalene triangle with the smallest prime perimeter. [Beedassy]

+ The first in the smallest set of 7 consecutive primes (463, 467, 479, 487, 491, 499, 503) that are congruent to 3 (mod 4). [Post]

+ The smallest prime that is a sum of mountain primes, i.e., 463 = 131 + 151 + 181. [Loungrides]

+ There is a 4-6-3 double play in baseball. [Homewood]

+ According to "The Empty Hexagon Theorem," a result established by V. A. Koshelev guarantees that 463 random points on a plane (no three concurrent) determine the vertices of an empty convex hexagon. [Beedassy]

+ The number of days in the synodic period of Ceres. [Homewood]

+ A 463-tuple would be an "interesting constellation."

+ Largest known odd prime p that divides 0! - 1! + 2! - 3! + 4! - . . . + (p-1)!. [Sondow]

+ The only distinct-digit 3-digit prime which remains a prime after a prime digit is subtracted from any of its digits or from all of its digits simultaneously, i.e., 263, 443, 461, 241. [Loungrides]

+ The smallest prime number that is the sum of divisors of an abundant number (392). [Gaydos]

(There are 2 curios for this number that have not yet been approved by an editor.)

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