1152225360 has 720 divisors, whose sum is σ = 4952683008. Its totient is φ = 236390400.

The previous prime is 1152225343. The next prime is 1152225367. The reversal of 1152225360 is 635222511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152225367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37168545 + ... + 37168575.

Almost surely, 2^1152225360 is an apocalyptic number.

1152225360 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 1152225360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476341504).

1152225360 is an abundant number, since it is smaller than the sum of its proper divisors (3800457648).

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

1152225360 is a wasteful number, since it uses less digits than its factorization.

1152225360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1152225360 is about 33944.4452009456. The cubic root of 1152225360 is about 1048.3649108979.

Adding to 1152225360 its reverse (635222511), we get a palindrome (1787447871).

The spelling of 1152225360 in words is "one billion, one hundred fifty-two million, two hundred twenty-five thousand, three hundred sixty".