### About the Number 1,407 (one thousand four hundred seven)

The following video has four train engines. The first engine in number 4025 followed by 1704, 7842, and 4828.

```MathBabbler Number Analyst (MBNA) output:
=========================================
1407 is a natural, whole, integer
1407 is odd
1407 proper divisors are: 1,3,7,21,67,201,469,
1407 has 7 proper divisors
1407 is deficient (sum of divisors is 769; ratio: 0.546553)
1407 is unhappy
1407 is a Squarefree Number
1407 is composite (not prime)
1407 has the prime factors: 3*7*67 (sum=77)
1407 is sphenic (had 3 unique prime factors)
1407 is a 67-smooth number
1407 is the sum of 3 distinct cubes (4^3 + 7^3 + 10^3)
1407 is Arithmetic (A003601)
1407 in octal is 02577
1407 in hexadecimal is 0x57f
1407 in binary is 10101111111 (is odious)
1407 nearest square numbers: -38...37 (1369...1444 )
sqrt(1407) = 37.51
ln(1407) = 7.24922
log(1407) = 3.14829
1407 reciprocal is .00071073205401563610518834399431
1407! is 3.72153e+3820
1407 is 447.862 Pi years
1407 is 70 score and 7 years
1407 written as a Roman numeral is MCDVII
1407 is 704^2 - 703^2 and 704 + 703 = 1407
1407 is a multiple of 1 & it contains a 1 (A011531)
1407 is a multiple of 7 & it contains a 7 (A121027)
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 20 January 2016 