1143244800 has 288 divisors, whose sum is σ = 4204418400. Its totient is φ = 304496640.

The previous prime is 1143244799. The next prime is 1143244819. The reversal of 1143244800 is 84423411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1381987 + ... + 1382813.

It is an arithmetic number, because the mean of its divisors is an integer number (14598675).

Almost surely, 2^1143244800 is an apocalyptic number.

1143244800 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 1143244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102209200).

1143244800 is an abundant number, since it is smaller than the sum of its proper divisors (3061173600).

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

1143244800 is an equidigital number, since it uses as much as digits as its factorization.

1143244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1143244800 is about 33811.9032294841. The cubic root of 1143244800 is about 1045.6341167857.

The spelling of 1143244800 in words is "one billion, one hundred forty-three million, two hundred forty-four thousand, eight hundred".