1133468800 has 48 divisors (see below), whose sum is σ = 2800030050. Its totient is φ = 453386240.

The previous prime is 1133468789. The next prime is 1133468801. The reversal of 1133468800 is 88643311.

It can be written as a sum of positive squares in 3 ways, for example, as 853107264 + 280361536 = 29208^2 + 16744^2 .

It is not an unprimeable number, because it can be changed into a prime (1133468801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173905 + ... + 180304.

Almost surely, 2^1133468800 is an apocalyptic number.

1133468800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133468800 is an abundant number, since it is smaller than the sum of its proper divisors (1666561250).

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

1133468800 is an equidigital number, since it uses as much as digits as its factorization.

1133468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354233 (or 354216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1133468800 is about 33667.0283808952. The cubic root of 1133468800 is about 1042.6451404022.

The spelling of 1133468800 in words is "one billion, one hundred thirty-three million, four hundred sixty-eight thousand, eight hundred".