1155220800 has 336 divisors, whose sum is σ = 4032747840. Its totient is φ = 289013760.

The previous prime is 1155220789. The next prime is 1155220811. The reversal of 1155220800 is 80225511.

It is an interprime number because it is at equal distance from previous prime (1155220789) and next prime (1155220811).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5985504 + ... + 5985696.

Almost surely, 2^1155220800 is an apocalyptic number.

1155220800 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 1155220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016373920).

1155220800 is an abundant number, since it is smaller than the sum of its proper divisors (2877527040).

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

1155220800 is a wasteful number, since it uses less digits than its factorization.

1155220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1155220800 is about 33988.5392448690. The cubic root of 1155220800 is about 1049.2726027812.

The spelling of 1155220800 in words is "one billion, one hundred fifty-five million, two hundred twenty thousand, eight hundred".