477360

The number 477360 is a six-digit integer that holds significance in various mathematical and scientific contexts, though it is primarily recognized as a composite number with notable factorizations. It factors into prime numbers as follows: 477360 = 2^4 × 3^3 × 5 × 7 × 113. Its prime factorization indicates that it is divisible by several smaller primes, making it a highly composite number.

In mathematics, 477360 is recognized for its highly composite nature, meaning it has more divisors than any smaller positive integer. Specifically, it has 96 divisors, which include 1, 2, 3, 4, 5, 6, 7, 8, and others up to 477360 itself. Due to its divisor richness, it often appears in number theory studies involving divisibility, factorization, and properties of perfect numbers.

In a scientific or technical context, 477360 may be used as a code, identifier, or specific measurement in various fields, but without additional contextual information, its application remains generic.

There are no widely known or culturally significant references directly associated with the number 477360, nor does it exhibit particular properties like palindromes or well-known math constants. It primarily serves as an example of a large, highly divisible, composite number within mathematical analyses.

Overall, 477360 exemplifies a larger class of numbers characterized by their divisor count and prime composition, making it a point of interest in certain areas of pure mathematics.