480004480800 has 324 divisors, whose sum is σ = 1832837140134. Its totient is φ = 118154649600.

The previous prime is 480004480777. The next prime is 480004480819. The reversal of 480004480800 is 8084400084.

It can be written as a sum of positive squares in 9 ways, for example, as 9468846864 + 470535633936 = 97308^2 + 685956^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1019560 + ... + 1414040.

Almost surely, 2^480004480800 is an apocalyptic number.

480004480800 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 480004480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916418570067).

480004480800 is an abundant number, since it is smaller than the sum of its proper divisors (1352832659334).

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

480004480800 is a wasteful number, since it uses less digits than its factorization.

480004480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394533 (or 394504 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Adding to 480004480800 its reverse (8084400084), we get a palindrome (488088880884).

The spelling of 480004480800 in words is "four hundred eighty billion, four million, four hundred eighty thousand, eight hundred".