480882470700820 has 12 divisors (see below), whose sum is σ = 1009853188471764. Its totient is φ = 192352988280320.

The previous prime is 480882470700817. The next prime is 480882470700899. The reversal of 480882470700820 is 28007074288084.

It can be written as a sum of positive squares in 2 ways, for example, as 277168623217924 + 203713847482896 = 16648382^2 + 14272836^2 .

It is a super-3 number, since 3×480882470700820³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 12022061767501 + ... + 12022061767540.

It is an arithmetic number, because the mean of its divisors is an integer number (84154432372647).

Almost surely, 2^{480882470700820} is an apocalyptic number.

It is an amenable number.

480882470700820 is an abundant number, since it is smaller than the sum of its proper divisors (528970717770944).

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

480882470700820 is a wasteful number, since it uses less digits than its factorization.

480882470700820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24044123535050 (or 24044123535048 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 58.

The spelling of 480882470700820 in words is "four hundred eighty trillion, eight hundred eighty-two billion, four hundred seventy million, seven hundred thousand, eight hundred twenty".