1447200 has 144 divisors (see below), whose sum is σ = 5312160. Its totient is φ = 380160.

The previous prime is 1447189. The next prime is 1447213. The reversal of 1447200 is 27441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21567 + ... + 21633.

It is an arithmetic number, because the mean of its divisors is an integer number (36890).

2^1447200 is an apocalyptic number.

1447200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656080).

1447200 is an abundant number, since it is smaller than the sum of its proper divisors (3864960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1447200 is a wasteful number, since it uses less digits than its factorization.

1447200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1447200 is about 1202.9962593458. The cubic root of 1447200 is about 113.1122178613.

The spelling of 1447200 in words is "one million, four hundred forty-seven thousand, two hundred".