1104442400 has 144 divisors (see below), whose sum is σ = 2874894120. Its totient is φ = 414310400.

The previous prime is 1104442399. The next prime is 1104442403. The reversal of 1104442400 is 42444011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 160478224 + 943964176 = 12668^2 + 30724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104442403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3930260 + ... + 3930540.

Almost surely, 2^1104442400 is an apocalyptic number.

1104442400 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 1104442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437447060).

1104442400 is an abundant number, since it is smaller than the sum of its proper divisors (1770451720).

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

1104442400 is an equidigital number, since it uses as much as digits as its factorization.

1104442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1104442400 is about 33233.1521225417. The cubic root of 1104442400 is about 1033.6678856613.

Adding to 1104442400 its reverse (42444011), we get a palindrome (1146886411).

The spelling of 1104442400 in words is "one billion, one hundred four million, four hundred forty-two thousand, four hundred".