4490304000 has 640 divisors, whose sum is σ = 18445819392. Its totient is φ = 943718400.

The previous prime is 4490303981. The next prime is 4490304011. The reversal of 4490304000 is 4030944.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 17471872 + ... + 17472128.

Almost surely, 2^4490304000 is an apocalyptic number.

4490304000 is a gapful number since it is divisible by the number (40) 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 4490304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222909696).

4490304000 is an abundant number, since it is smaller than the sum of its proper divisors (13955515392).

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

4490304000 is a wasteful number, since it uses less digits than its factorization.

4490304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4490304000 is about 67009.7306366769. The cubic root of 4490304000 is about 1649.7770130250. Note that the first 3 decimals are identical.

Adding to 4490304000 its reverse (4030944), we get a palindrome (4494334944).

The spelling of 4490304000 in words is "four billion, four hundred ninety million, three hundred four thousand".