4803264000 has 480 divisors, whose sum is σ = 17924924160. Its totient is φ = 1234944000.

The previous prime is 4803263999. The next prime is 4803264061. The reversal of 4803264000 is 4623084.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17855866 + ... + 17856134.

It is an arithmetic number, because the mean of its divisors is an integer number (37343592).

Almost surely, 2^4803264000 is an apocalyptic number.

4803264000 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 4803264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962462080).

4803264000 is an abundant number, since it is smaller than the sum of its proper divisors (13121660160).

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

4803264000 is a wasteful number, since it uses less digits than its factorization.

4803264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4803264000 is about 69305.5841905975. The cubic root of 4803264000 is about 1687.2476001104.

Adding to 4803264000 its reverse (4623084), we get a palindrome (4807887084).

The spelling of 4803264000 in words is "four billion, eight hundred three million, two hundred sixty-four thousand".