1152847200 has 144 divisors (see below), whose sum is σ = 3840129216. Its totient is φ = 300249600.

The previous prime is 1152847187. The next prime is 1152847207. The reversal of 1152847200 is 27482511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152847207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97615 + ... + 108785.

It is an arithmetic number, because the mean of its divisors is an integer number (26667564).

Almost surely, 2^1152847200 is an apocalyptic number.

1152847200 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 1152847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920064608).

1152847200 is an abundant number, since it is smaller than the sum of its proper divisors (2687282016).

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

1152847200 is a wasteful number, since it uses less digits than its factorization.

1152847200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11237 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1152847200 is about 33953.6036379057. The cubic root of 1152847200 is about 1048.5534729673.

The spelling of 1152847200 in words is "one billion, one hundred fifty-two million, eight hundred forty-seven thousand, two hundred".