1133444400 has 240 divisors, whose sum is σ = 4194695808. Its totient is φ = 258560000.

The previous prime is 1133444359. The next prime is 1133444401. The reversal of 1133444400 is 44443311.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1133444401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221875 + ... + 226925.

Almost surely, 2^1133444400 is an apocalyptic number.

1133444400 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 1133444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097347904).

1133444400 is an abundant number, since it is smaller than the sum of its proper divisors (3061251408).

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

1133444400 is a wasteful number, since it uses less digits than its factorization.

1133444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1133444400 is about 33666.6660066007. Note that the first 3 decimals coincide. The cubic root of 1133444400 is about 1042.6376587306.

Adding to 1133444400 its reverse (44443311), we get a palindrome (1177887711).

The spelling of 1133444400 in words is "one billion, one hundred thirty-three million, four hundred forty-four thousand, four hundred".