480658773060 has 96 divisors (see below), whose sum is σ = 1495568256000. Its totient is φ = 128159781120.

The previous prime is 480658772981. The next prime is 480658773071. The reversal of 480658773060 is 60377856084.

480658773060 is a `hidden beast` number, since 480 + 6 + 5 + 8 + 77 + 30 + 60 = 666.

It is a super-3 number, since 3×480658773060³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 480658772988 and 480658773006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4680141 + ... + 4781739.

It is an arithmetic number, because the mean of its divisors is an integer number (15578836000).

Almost surely, 2^480658773060 is an apocalyptic number.

It is an amenable number.

480658773060 is an abundant number, since it is smaller than the sum of its proper divisors (1014909482940).

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

480658773060 is a wasteful number, since it uses less digits than its factorization.

480658773060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110378 (or 110370 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 480658773060 in words is "four hundred eighty billion, six hundred fifty-eight million, seven hundred seventy-three thousand, sixty".