480059039880 has 512 divisors, whose sum is σ = 1902772224000. Its totient is φ = 105352047360.

The previous prime is 480059039869. The next prime is 480059039897. The reversal of 480059039880 is 88930950084.

It is a happy number.

480059039880 is a `hidden beast` number, since 48 + 0 + 0 + 590 + 3 + 9 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3779992377 + ... + 3779992503.

It is an arithmetic number, because the mean of its divisors is an integer number (3716352000).

Almost surely, 2^480059039880 is an apocalyptic number.

480059039880 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 480059039880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951386112000).

480059039880 is an abundant number, since it is smaller than the sum of its proper divisors (1422713184120).

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

480059039880 is an equidigital number, since it uses as much as digits as its factorization.

480059039880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 480059039880 in words is "four hundred eighty billion, fifty-nine million, thirty-nine thousand, eight hundred eighty".