1004450304 has 320 divisors, whose sum is σ = 3341036160. Its totient is φ = 263454720.

The previous prime is 1004450303. The next prime is 1004450323. The reversal of 1004450304 is 4030544001.

1004450304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1004450303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3733882 + ... + 3734150.

It is an arithmetic number, because the mean of its divisors is an integer number (10440738).

Almost surely, 2^1004450304 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 1004450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670518080).

1004450304 is an abundant number, since it is smaller than the sum of its proper divisors (2336585856).

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

1004450304 is a wasteful number, since it uses less digits than its factorization.

1004450304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1004450304 is about 31693.0639730525. The cubic root of 1004450304 is about 1001.4812395129.

Adding to 1004450304 its reverse (4030544001), we get a palindrome (5034994305).

The spelling of 1004450304 in words is "one billion, four million, four hundred fifty thousand, three hundred four".