480004880800 has 36 divisors (see below), whose sum is σ = 1171811917206. Its totient is φ = 192001952000.

The previous prime is 480004880779. The next prime is 480004880807. The reversal of 480004880800 is 8088400084.

It can be written as a sum of positive squares in 3 ways, for example, as 185116783504 + 294888097296 = 430252^2 + 543036^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (480004880807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 300002251 + ... + 300003850.

Almost surely, 2^480004880800 is an apocalyptic number.

480004880800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480004880800 is an abundant number, since it is smaller than the sum of its proper divisors (691807036406).

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

480004880800 is a wasteful number, since it uses less digits than its factorization.

480004880800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600006121 (or 600006108 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 480004880800 in words is "four hundred eighty billion, four million, eight hundred eighty thousand, eight hundred".