# 846400

## 846,400 is an even composite number composed of three prime numbers multiplied together.

What does the number 846400 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 63 divisors.

846400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-three divisors.

## Prime factorization of 846400:

### 26 × 52 × 232

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

See below for interesting mathematical facts about the number 846400 from the Numbermatics database.

### Names of 846400

• Cardinal: 846400 can be written as Eight hundred forty-six thousand, four hundred.

### Scientific notation

• Scientific notation: 8.464 × 105

### Factors of 846400

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 30

### Divisors of 846400

• Number of divisors d(n): 63
• Complete list of divisors:
• Sum of all divisors σ(n): 2177161
• Sum of proper divisors (its aliquot sum) s(n): 1330761
• 846400 is an abundant number, because the sum of its proper divisors (1330761) is greater than itself. Its abundance is 484361

### Bases of 846400

• Binary: 110011101010010000002
• Base-36: I534

### Squares and roots of 846400

• 846400 squared (8464002) is 716392960000
• 846400 cubed (8464003) is 606355001344000000
• 846400 is a perfect square number. Its square root is 920
• The cube root of 846400 is 94.5929024885

### Scales and comparisons

How big is 846400?
• 846,400 seconds is equal to 1 week, 2 days, 19 hours, 6 minutes, 40 seconds.
• To count from 1 to 846,400 would take you about two 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 846400 cubic inches would be around 7.9 feet tall.

### Recreational maths with 846400

• 846400 backwards is 004648
• The number of decimal digits it has is: 6
• The sum of 846400's digits is 22
• More coming soon!