1104400008 has 144 divisors (see below), whose sum is σ = 3172541580. Its totient is φ = 360277632.

The previous prime is 1104399977. The next prime is 1104400043. The reversal of 1104400008 is 8000044011.

It can be written as a sum of positive squares in 2 ways, for example, as 1060283844 + 44116164 = 32562^2 + 6642^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2781666 + ... + 2782062.

Almost surely, 2^1104400008 is an apocalyptic number.

1104400008 is a gapful number since it is divisible by the number (18) 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 1104400008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586270790).

1104400008 is an abundant number, since it is smaller than the sum of its proper divisors (2068141572).

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

1104400008 is an frugal number, since it uses more digits than its factorization.

1104400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1104400008 is about 33232.5143195636. The cubic root of 1104400008 is about 1033.6546603421.

Adding to 1104400008 its reverse (8000044011), we get a palindrome (9104444019).

The spelling of 1104400008 in words is "one billion, one hundred four million, four hundred thousand, eight".