1152907200 has 378 divisors, whose sum is σ = 4349566104. Its totient is φ = 289090560.

The previous prime is 1152907187. The next prime is 1152907201. The reversal of 1152907200 is 27092511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152907201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19540771 + ... + 19540829.

Almost surely, 2^1152907200 is an apocalyptic number.

1152907200 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 1152907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174783052).

1152907200 is an abundant number, since it is smaller than the sum of its proper divisors (3196658904).

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

1152907200 is a wasteful number, since it uses less digits than its factorization.

1152907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1152907200 is about 33954.4871850541. The cubic root of 1152907200 is about 1048.5716633274.

Adding to 1152907200 its reverse (27092511), we get a palindrome (1179999711).

The spelling of 1152907200 in words is "one billion, one hundred fifty-two million, nine hundred seven thousand, two hundred".