# 480984

## 480,984 is an even composite number composed of four prime numbers multiplied together.

What does the number 480984 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

480984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 480984:

### 23 × 3 × 72 × 409

(2 × 2 × 2 × 3 × 7 × 7 × 409)

See below for interesting mathematical facts about the number 480984 from the Numbermatics database.

### Names of 480984

• Cardinal: 480984 can be written as Four hundred eighty thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 4.80984 × 105

### Factors of 480984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 421

### Divisors of 480984

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 1402200
• Sum of proper divisors (its aliquot sum) s(n): 921216
• 480984 is an abundant number, because the sum of its proper divisors (921216) is greater than itself. Its abundance is 440232

### Bases of 480984

• Binary: 11101010110110110002
• Base-36: AB4O

### Squares and roots of 480984

• 480984 squared (4809842) is 231345608256
• 480984 cubed (4809843) is 111273536041403904
• The square root of 480984 is 693.5301002839
• The cube root of 480984 is 78.3508194955

### Scales and comparisons

How big is 480984?
• 480,984 seconds is equal to 5 days, 13 hours, 36 minutes, 24 seconds.
• To count from 1 to 480,984 would take you about five days.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 480984 cubic inches would be around 6.5 feet tall.

### Recreational maths with 480984

• 480984 backwards is 489084
• The number of decimal digits it has is: 6
• The sum of 480984's digits is 33
• More coming soon!