1115914800 has 480 divisors, whose sum is σ = 4804692480. Its totient is φ = 213811200.

The previous prime is 1115914771. The next prime is 1115914823. The reversal of 1115914800 is 84195111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1200736 + ... + 1201664.

It is an arithmetic number, because the mean of its divisors is an integer number (10009776).

Almost surely, 2^1115914800 is an apocalyptic number.

1115914800 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 1115914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402346240).

1115914800 is an abundant number, since it is smaller than the sum of its proper divisors (3688777680).

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

1115914800 is a wasteful number, since it uses less digits than its factorization.

1115914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 30.

The square root of 1115914800 is about 33405.3109549964. The cubic root of 1115914800 is about 1037.2346406078.

The spelling of 1115914800 in words is "one billion, one hundred fifteen million, nine hundred fourteen thousand, eight hundred".