1144219200 has 168 divisors, whose sum is σ = 3785567232. Its totient is φ = 302561280.

The previous prime is 1144219177. The next prime is 1144219201. The reversal of 1144219200 is 29124411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1144219201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608662 + ... + 610538.

Almost surely, 2^1144219200 is an apocalyptic number.

1144219200 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 1144219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892783616).

1144219200 is an abundant number, since it is smaller than the sum of its proper divisors (2641348032).

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

1144219200 is a wasteful number, since it uses less digits than its factorization.

1144219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1144219200 is about 33826.3092872988. The cubic root of 1144219200 is about 1045.9311008778.

The spelling of 1144219200 in words is "one billion, one hundred forty-four million, two hundred nineteen thousand, two hundred".