1150340800 has 168 divisors, whose sum is σ = 3255426560. Its totient is φ = 391910400.

The previous prime is 1150340797. The next prime is 1150340803. The reversal of 1150340800 is 80430511.

It is an interprime number because it is at equal distance from previous prime (1150340797) and next prime (1150340803).

It is a super-2 number, since 2×1150340800² = 2646567912289280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1150340803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3035011 + ... + 3035389.

Almost surely, 2^1150340800 is an apocalyptic number.

1150340800 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 1150340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627713280).

1150340800 is an abundant number, since it is smaller than the sum of its proper divisors (2105085760).

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

1150340800 is a wasteful number, since it uses less digits than its factorization.

1150340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1150340800 is about 33916.6743652735. The cubic root of 1150340800 is about 1047.7930364571.

The spelling of 1150340800 in words is "one billion, one hundred fifty million, three hundred forty thousand, eight hundred".