480003634688 has 160 divisors (see below), whose sum is σ = 1014891292800. Its totient is φ = 226471182336.

The previous prime is 480003634687. The next prime is 480003634699. The reversal of 480003634688 is 886436300084.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480003634687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122479193 + ... + 122483111.

It is an arithmetic number, because the mean of its divisors is an integer number (6343070580).

Almost surely, 2^480003634688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480003634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507445646400).

480003634688 is an abundant number, since it is smaller than the sum of its proper divisors (534887658112).

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

480003634688 is a wasteful number, since it uses less digits than its factorization.

480003634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 50.

The spelling of 480003634688 in words is "four hundred eighty billion, three million, six hundred thirty-four thousand, six hundred eighty-eight".