# 473984

## 473,984 is an even composite number composed of three prime numbers multiplied together.

What does the number 473984 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

473984 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 473984:

### 27 × 7 × 232

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 23 × 23)

See below for interesting mathematical facts about the number 473984 from the Numbermatics database.

### Names of 473984

• Cardinal: 473984 can be written as Four hundred seventy-three thousand, nine hundred eighty-four.

### Scientific notation

• Scientific notation: 4.73984 × 105

### Factors of 473984

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 32

### Divisors of 473984

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 1128120
• Sum of proper divisors (its aliquot sum) s(n): 654136
• 473984 is an abundant number, because the sum of its proper divisors (654136) is greater than itself. Its abundance is 180152

### Bases of 473984

• Binary: 11100111011100000002
• Base-36: A5Q8

### Squares and roots of 473984

• 473984 squared (4739842) is 224660832256
• 473984 cubed (4739843) is 106485639916027904
• The square root of 473984 is 688.4649591665
• The cube root of 473984 is 77.9688676983

### Scales and comparisons

How big is 473984?
• 473,984 seconds is equal to 5 days, 11 hours, 39 minutes, 44 seconds.
• To count from 1 to 473,984 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 473984 cubic inches would be around 6.5 feet tall.

### Recreational maths with 473984

• 473984 backwards is 489374
• The number of decimal digits it has is: 6
• The sum of 473984's digits is 35
• More coming soon!