# 404800

## 404,800 is an even composite number composed of four prime numbers multiplied together.

What does the number 404800 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 84 divisors.

404800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.

## Prime factorization of 404800:

### 26 × 52 × 11 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 23)

See below for interesting mathematical facts about the number 404800 from the Numbermatics database.

### Names of 404800

• Cardinal: 404800 can be written as Four hundred four thousand, eight hundred.

### Scientific notation

• Scientific notation: 4.048 × 105

### Factors of 404800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 41

### Divisors of 404800

• Number of divisors d(n): 84
• Complete list of divisors:
• Sum of all divisors σ(n): 1133856
• Sum of proper divisors (its aliquot sum) s(n): 729056
• 404800 is an abundant number, because the sum of its proper divisors (729056) is greater than itself. Its abundance is 324256

### Bases of 404800

• Binary: 11000101101010000002
• Base-36: 8OCG

### Squares and roots of 404800

• 404800 squared (4048002) is 163863040000
• 404800 cubed (4048003) is 66331758592000000
• The square root of 404800 is 636.2389488235
• The cube root of 404800 is 73.9741813995

### Scales and comparisons

How big is 404800?
• 404,800 seconds is equal to 4 days, 16 hours, 26 minutes, 40 seconds.
• To count from 1 to 404,800 would take you about four 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 404800 cubic inches would be around 6.2 feet tall.

### Recreational maths with 404800

• 404800 backwards is 008404
• 404800 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 404800's digits is 16
• More coming soon!