480832320000 has 800 divisors, whose sum is σ = 1678819405824. Its totient is φ = 122112000000.

The previous prime is 480832319963. The next prime is 480832320013. The reversal of 480832320000 is 23238084.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-3 number, since 3×480832320000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 480832320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3184319925 + ... + 3184320075.

Almost surely, 2^480832320000 is an apocalyptic number.

480832320000 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 480832320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839409702912).

480832320000 is an abundant number, since it is smaller than the sum of its proper divisors (1197987085824).

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

480832320000 is a wasteful number, since it uses less digits than its factorization.

480832320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 480832320000 its reverse (23238084), we get a palindrome (480855558084).

The spelling of 480832320000 in words is "four hundred eighty billion, eight hundred thirty-two million, three hundred twenty thousand".