1004044320 has 144 divisors (see below), whose sum is σ = 3438129240. Its totient is φ = 266821632.

The previous prime is 1004044271. The next prime is 1004044331. The reversal of 1004044320 is 234404001.

It can be written as a sum of positive squares in 4 ways, for example, as 514926864 + 489117456 = 22692^2 + 22116^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1004044293 and 1004044302.

It is an unprimeable number.

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, 484246 + ... + 486314.

Almost surely, 2^1004044320 is an apocalyptic number.

1004044320 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 1004044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719064620).

1004044320 is an abundant number, since it is smaller than the sum of its proper divisors (2434084920).

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

1004044320 is a wasteful number, since it uses less digits than its factorization.

1004044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1004044320 is about 31686.6583911904. The cubic root of 1004044320 is about 1001.3462933475.

Adding to 1004044320 its reverse (234404001), we get a palindrome (1238448321).

The spelling of 1004044320 in words is "one billion, four million, forty-four thousand, three hundred twenty".