# 1458

## 1,458 is an even composite number composed of two prime numbers multiplied together.

What does the number 1458 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 14 divisors.

1458 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of fourteen divisors.

## Prime factorization of 1458:

### 2 × 36

(2 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 1458 from the Numbermatics database.

### Names of 1458

• Cardinal: 1458 can be written as One thousand, four hundred fifty-eight.

### Scientific notation

• Scientific notation: 1.458 × 103

### Factors of 1458

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 7
• Sum of prime factors: 5

### Divisors of 1458

• Number of divisors d(n): 14
• Complete list of divisors:
• Sum of all divisors σ(n): 3279
• Sum of proper divisors (its aliquot sum) s(n): 1821
• 1458 is an abundant number, because the sum of its proper divisors (1821) is greater than itself. Its abundance is 363

### Bases of 1458

• Binary: 101101100102
• Base-36: 14I

### Squares and roots of 1458

• 1458 squared (14582) is 2125764
• 1458 cubed (14583) is 3099363912
• The square root of 1458 is 38.1837661841
• The cube root of 1458 is 11.3392894491
• Being both a perfect square and a perfect cube, 1458 is also a perfect sixth number.

### Scales and comparisons

How big is 1458?
• 1,458 seconds is equal to 24 minutes, 18 seconds.
• To count from 1 to 1,458 would take you about twenty-four minutes.

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 1458 cubic inches would be around 0.9 feet tall.

### Recreational maths with 1458

• 1458 backwards is 8541
• 1458 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1458's digits is 18
• More coming soon!