1144304400 has 120 divisors (see below), whose sum is σ = 3710075040. Its totient is φ = 301445120.

The previous prime is 1144304309. The next prime is 1144304401. The reversal of 1144304400 is 44034411.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1144304401) 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, 93856 + ... + 105344.

It is an arithmetic number, because the mean of its divisors is an integer number (30917292).

Almost surely, 2^1144304400 is an apocalyptic number.

1144304400 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 1144304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855037520).

1144304400 is an abundant number, since it is smaller than the sum of its proper divisors (2565770640).

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

1144304400 is a wasteful number, since it uses less digits than its factorization.

1144304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593 (or 11582 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1144304400 is about 33827.5686386119. The cubic root of 1144304400 is about 1045.9570606816.

Adding to 1144304400 its reverse (44034411), we get a palindrome (1188338811).

The spelling of 1144304400 in words is "one billion, one hundred forty-four million, three hundred four thousand, four hundred".