1152284224 has 112 divisors (see below), whose sum is σ = 2857203328. Its totient is φ = 448892928.

The previous prime is 1152284207. The next prime is 1152284249. The reversal of 1152284224 is 4224822511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 388732 + ... + 391684.

It is an arithmetic number, because the mean of its divisors is an integer number (25510744).

Almost surely, 2^1152284224 is an apocalyptic number.

1152284224 is a gapful number since it is divisible by the number (14) 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 1152284224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428601664).

1152284224 is an abundant number, since it is smaller than the sum of its proper divisors (1704919104).

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

1152284224 is a wasteful number, since it uses less digits than its factorization.

1152284224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3042 counting only the distinct ones).

The product of its digits is 10240, while the sum is 31.

The square root of 1152284224 is about 33945.3122536824. The cubic root of 1152284224 is about 1048.3827632798.

The spelling of 1152284224 in words is "one billion, one hundred fifty-two million, two hundred eighty-four thousand, two hundred twenty-four".