1004404224 has 120 divisors (see below), whose sum is σ = 2749701240. Its totient is φ = 325795840.

The previous prime is 1004404213. The next prime is 1004404243. The reversal of 1004404224 is 4224044001.

It is a self number, because there is not a number n which added to its sum of digits gives 1004404224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2581822 + ... + 2582210.

It is an arithmetic number, because the mean of its divisors is an integer number (22914177).

Almost surely, 2^1004404224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374850620).

1004404224 is an abundant number, since it is smaller than the sum of its proper divisors (1745297016).

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

1004404224 is an frugal number, since it uses more digits than its factorization.

1004404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1004404224 is about 31692.3369917714. The cubic root of 1004404224 is about 1001.4659246814.

Adding to 1004404224 its reverse (4224044001), we get a palindrome (5228448225).

The spelling of 1004404224 in words is "one billion, four million, four hundred four thousand, two hundred twenty-four".