1149244200 has 576 divisors, whose sum is σ = 4606580160. Its totient is φ = 263761920.

The previous prime is 1149244199. The next prime is 1149244207. The reversal of 1149244200 is 24429411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149244207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10740547 + ... + 10740653.

It is an arithmetic number, because the mean of its divisors is an integer number (7997535).

Almost surely, 2^1149244200 is an apocalyptic number.

1149244200 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 1149244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303290080).

1149244200 is an abundant number, since it is smaller than the sum of its proper divisors (3457335960).

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

1149244200 is a wasteful number, since it uses less digits than its factorization.

1149244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1149244200 is about 33900.5044210260. The cubic root of 1149244200 is about 1047.4599829401.

The spelling of 1149244200 in words is "one billion, one hundred forty-nine million, two hundred forty-four thousand, two hundred".