1144552200 has 288 divisors, whose sum is σ = 4139333280. Its totient is φ = 258560000.

The previous prime is 1144552177. The next prime is 1144552207. The reversal of 1144552200 is 22554411.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144552207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11332150 + ... + 11332250.

It is an arithmetic number, because the mean of its divisors is an integer number (14372685).

Almost surely, 2^1144552200 is an apocalyptic number.

1144552200 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 1144552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069666640).

1144552200 is an abundant number, since it is smaller than the sum of its proper divisors (2994781080).

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

1144552200 is a wasteful number, since it uses less digits than its factorization.

1144552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1144552200 is about 33831.2311333773. The cubic root of 1144552200 is about 1046.0325561683.

The spelling of 1144552200 in words is "one billion, one hundred forty-four million, five hundred fifty-two thousand, two hundred".