1151943200 has 72 divisors (see below), whose sum is σ = 2888260452. Its totient is φ = 448312320.

The previous prime is 1151943193. The next prime is 1151943217. The reversal of 1151943200 is 23491511.

It can be written as a sum of positive squares in 6 ways, for example, as 419266576 + 732676624 = 20476^2 + 27068^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1151943200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10142 + ... + 49058.

Almost surely, 2^1151943200 is an apocalyptic number.

1151943200 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 1151943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444130226).

1151943200 is an abundant number, since it is smaller than the sum of its proper divisors (1736317252).

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

1151943200 is a wasteful number, since it uses less digits than its factorization.

1151943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38974 (or 38961 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 1151943200 is about 33940.2887436156. The cubic root of 1151943200 is about 1048.2793284523.

The spelling of 1151943200 in words is "one billion, one hundred fifty-one million, nine hundred forty-three thousand, two hundred".