1153987200 has 288 divisors, whose sum is σ = 4361757660. Its totient is φ = 289505280.

The previous prime is 1153987199. The next prime is 1153987229. The reversal of 1153987200 is 27893511.

It can be written as a sum of positive squares in 6 ways, for example, as 388247616 + 765739584 = 19704^2 + 27672^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 488422 + ... + 490778.

Almost surely, 2^1153987200 is an apocalyptic number.

1153987200 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 1153987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180878830).

1153987200 is an abundant number, since it is smaller than the sum of its proper divisors (3207770460).

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

1153987200 is a wasteful number, since it uses less digits than its factorization.

1153987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1153987200 is about 33970.3871040646. The cubic root of 1153987200 is about 1048.8989819429.

The spelling of 1153987200 in words is "one billion, one hundred fifty-three million, nine hundred eighty-seven thousand, two hundred".