480003600 has 120 divisors (see below), whose sum is σ = 1544365440. Its totient is φ = 127439360.

The previous prime is 480003599. The next prime is 480003613. The reversal of 480003600 is 6300084.

It is a tau number, because it is divible by the number of its divisors (120).

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, 322057 + ... + 323543.

It is an arithmetic number, because the mean of its divisors is an integer number (12869712).

Almost surely, 2^480003600 is an apocalyptic number.

480003600 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 480003600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772182720).

480003600 is an abundant number, since it is smaller than the sum of its proper divisors (1064361840).

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

480003600 is a wasteful number, since it uses less digits than its factorization.

480003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 480003600 is about 21908.9844584362. The cubic root of 480003600 is about 782.9754856627.

Adding to 480003600 its reverse (6300084), we get a palindrome (486303684).

The spelling of 480003600 in words is "four hundred eighty million, three thousand, six hundred".