1133798400 has 792 divisors, whose sum is σ = 5015641280. Its totient is φ = 238878720.

The previous prime is 1133798387. The next prime is 1133798401. The reversal of 1133798400 is 48973311.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133798401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30643182 + ... + 30643218.

Almost surely, 2^1133798400 is an apocalyptic number.

1133798400 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 1133798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507820640).

1133798400 is an abundant number, since it is smaller than the sum of its proper divisors (3881842880).

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

1133798400 is a wasteful number, since it uses less digits than its factorization.

1133798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1133798400 is about 33671.9230220075. The cubic root of 1133798400 is about 1042.7461937743.

The spelling of 1133798400 in words is "one billion, one hundred thirty-three million, seven hundred ninety-eight thousand, four hundred".