480480800000 has 108 divisors (see below), whose sum is σ = 1198781171532. Its totient is φ = 192192000000.

The previous prime is 480480799993. The next prime is 480480800011. The reversal of 480480800000 is 8084084.

It can be written as a sum of positive squares in 6 ways, for example, as 298622903296 + 181857896704 = 546464^2 + 426448^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 480480800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499700 + ... + 1100300.

Almost surely, 2^480480800000 is an apocalyptic number.

480480800000 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 480480800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599390585766).

480480800000 is an abundant number, since it is smaller than the sum of its proper divisors (718300371532).

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

480480800000 is an frugal number, since it uses more digits than its factorization.

480480800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600642 (or 600608 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Adding to 480480800000 its reverse (8084084), we get a palindrome (480488884084).

The spelling of 480480800000 in words is "four hundred eighty billion, four hundred eighty million, eight hundred thousand".