1149940800 has 420 divisors, whose sum is σ = 4458888720. Its totient is φ = 289889280.

The previous prime is 1149940793. The next prime is 1149940801. The reversal of 1149940800 is 80499411.

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

It is not an unprimeable number, because it can be changed into a prime (1149940801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462167 + ... + 2462633.

Almost surely, 2^1149940800 is an apocalyptic number.

1149940800 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 1149940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229444360).

1149940800 is an abundant number, since it is smaller than the sum of its proper divisors (3308947920).

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

1149940800 is a wasteful number, since it uses less digits than its factorization.

1149940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1149940800 is about 33910.7770480123. Note that the first 3 decimals coincide. The cubic root of 1149940800 is about 1047.6715751178.

The spelling of 1149940800 in words is "one billion, one hundred forty-nine million, nine hundred forty thousand, eight hundred".