1144085200 has 60 divisors (see below), whose sum is σ = 2786388748. Its totient is φ = 451353600.

The previous prime is 1144085191. The next prime is 1144085203. The reversal of 1144085200 is 25804411.

It can be written as a sum of positive squares in 6 ways, for example, as 14318656 + 1129766544 = 3784^2 + 33612^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144085203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9610 + ... + 48790.

Almost surely, 2^1144085200 is an apocalyptic number.

1144085200 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 1144085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393194374).

1144085200 is an abundant number, since it is smaller than the sum of its proper divisors (1642303548).

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

1144085200 is a wasteful number, since it uses less digits than its factorization.

1144085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39272 (or 39261 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 1144085200 is about 33824.3285225295. The cubic root of 1144085200 is about 1045.8902694709.

Adding to 1144085200 its reverse (25804411), we get a palindrome (1169889611).

The spelling of 1144085200 in words is "one billion, one hundred forty-four million, eighty-five thousand, two hundred".