480
Number 480: Properties, Factors, and Mathematical Facts
Short answer
The number 480 is an even composite number with 24 positive divisors. Its prime factorization is 2⁵ × 3 × 5. It is also an abundant number, which gives it several notable mathematical relationships.
Is 480 prime?
ClassificationCompositeParityEvenDivisor count24AbundanceAbundant
What is the prime factorization of 480?
Prime factorization
2 to the power of 5 times 3 times 5
What are the divisors of 480?
Divisor count
24
Divisor sum
1,512
Proper divisor sum
1,032
- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 10
- 12
- 15
- 16
- 20
- 24
- 30
- 32
- 40
- 48
- 60
- 80
- 96
- 120
- 160
- 240
- 480
How is 480 classified?
How is 480 represented in other numeral systems?
Decimal
480
Binary
111100000
Octal
740
Hexadecimal
1E0
Roman
CDLXXXLearn more →
In words
four hundred eighty
Roots and powers
Square root
21.908902 Approximate
Cube root
7.829735 Approximate
Nearest lower square
441
Nearest higher square
484
Nearest lower cube
343
Nearest higher cube
512
What are the digit properties of 480?
Which numbers are related to 480?
Why these results are true
- 480 is composite because it has positive divisors other than 1 and itself.
- 480 is abundant because the sum of its proper divisors (1032) is greater than 480.
Compare this number
FAQ for 480
- Is 480 prime?
- No
- What is the prime factorization of 480?
- 2⁵ × 3 × 5
- Is 480 a perfect square?
- No
- What is 480 in binary?
- 111100000
- What is 480 in Roman numerals?
- CDLXXX