465

465 is a natural number that follows 464 and precedes 466. It is an odd composite number with prime factorization 3 × 5 × 31. Its positive divisors are 1, 3, 5, 15, 31, 93, 155, and 465. The sum of its proper divisors is 303, so 465 is a deficient number. It is also a Harshad number in base 10, since the sum of its digits is 4 + 6 + 5 = 15 and 465 ÷ 15 = 31. The number is the 30th triangular number because 30 × 31 / 2 = 465. In Roman numerals, 465 is CDLXV. In binary it is 111010001.

Beyond its mathematical properties, 465 appears in several real-world contexts. The wavelength 465 nanometers lies in the blue region of the visible spectrum. Interstate 465 (I-465) forms the beltway around Indianapolis, Indiana. In astronomy, 465 Alekto is a main-belt asteroid. These uses reflect how a single integer can function as both a mathematical object and a label across diverse domains.