1133202400 has 144 divisors (see below), whose sum is σ = 3044055168. Its totient is φ = 408512000.

The previous prime is 1133202377. The next prime is 1133202401. The reversal of 1133202400 is 42023311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133202401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152309 + ... + 1153291.

It is an arithmetic number, because the mean of its divisors is an integer number (21139272).

Almost surely, 2^1133202400 is an apocalyptic number.

1133202400 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 1133202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522027584).

1133202400 is an abundant number, since it is smaller than the sum of its proper divisors (1910852768).

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

1133202400 is a wasteful number, since it uses less digits than its factorization.

1133202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1133202400 is about 33663.0717552632. The cubic root of 1133202400 is about 1042.5634494523.

Adding to 1133202400 its reverse (42023311), we get a palindrome (1175225711).

Subtracting from 1133202400 its reverse (42023311), we obtain a square (1091179089 = 33033²).

The spelling of 1133202400 in words is "one billion, one hundred thirty-three million, two hundred two thousand, four hundred".