480606673870600 has 192 divisors, whose sum is σ = 1203885986365440. Its totient is φ = 177911186745600.

The previous prime is 480606673870529. The next prime is 480606673870637. The reversal of 480606673870600 is 6078376606084.

It is a super-3 number, since 3×480606673870600³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616640749 + ... + 617419651.

It is an arithmetic number, because the mean of its divisors is an integer number (6270239512320).

Almost surely, 2^{480606673870600} is an apocalyptic number.

480606673870600 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 480606673870600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601942993182720).

480606673870600 is an abundant number, since it is smaller than the sum of its proper divisors (723279312494840).

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

480606673870600 is a wasteful number, since it uses less digits than its factorization.

480606673870600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783300 (or 783291 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 61.

The spelling of 480606673870600 in words is "four hundred eighty trillion, six hundred six billion, six hundred seventy-three million, eight hundred seventy thousand, six hundred".