1152307200 has 468 divisors, whose sum is σ = 4322751104. Its totient is φ = 270336000.

The previous prime is 1152307187. The next prime is 1152307201. The reversal of 1152307200 is 27032511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152307201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37171185 + ... + 37171215.

Almost surely, 2^1152307200 is an apocalyptic number.

1152307200 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 1152307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161375552).

1152307200 is an abundant number, since it is smaller than the sum of its proper divisors (3170443904).

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

1152307200 is a wasteful number, since it uses less digits than its factorization.

1152307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1152307200 is about 33945.6506786952. The cubic root of 1152307200 is about 1048.3897313182.

Adding to 1152307200 its reverse (27032511), we get a palindrome (1179339711).

The spelling of 1152307200 in words is "one billion, one hundred fifty-two million, three hundred seven thousand, two hundred".