1159879200 has 144 divisors (see below), whose sum is σ = 3793819680. Its totient is φ = 307793920.

The previous prime is 1159879183. The next prime is 1159879211. The reversal of 1159879200 is 29789511.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543736 + ... + 545864.

It is an arithmetic number, because the mean of its divisors is an integer number (26345970).

Almost surely, 2^1159879200 is an apocalyptic number.

1159879200 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 1159879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896909840).

1159879200 is an abundant number, since it is smaller than the sum of its proper divisors (2633940480).

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

1159879200 is a wasteful number, since it uses less digits than its factorization.

1159879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 1159879200 is about 34056.9992806178. Note that the first 3 decimals coincide. The cubic root of 1159879200 is about 1050.6811000477.

The spelling of 1159879200 in words is "one billion, one hundred fifty-nine million, eight hundred seventy-nine thousand, two hundred".