1144303200 has 180 divisors, whose sum is σ = 4173287580. Its totient is φ = 305130240.

The previous prime is 1144303189. The next prime is 1144303207. The reversal of 1144303200 is 23034411.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144303207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 55971 + ... + 73629.

It is an arithmetic number, because the mean of its divisors is an integer number (23184931).

Almost surely, 2^1144303200 is an apocalyptic number.

1144303200 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 1144303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086643790).

1144303200 is an abundant number, since it is smaller than the sum of its proper divisors (3028984380).

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

1144303200 is a wasteful number, since it uses less digits than its factorization.

1144303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17691 (or 17669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1144303200 is about 33827.5509015950. The cubic root of 1144303200 is about 1045.9566950596.

Adding to 1144303200 its reverse (23034411), we get a palindrome (1167337611).

The spelling of 1144303200 in words is "one billion, one hundred forty-four million, three hundred three thousand, two hundred".