480273724680 has 128 divisors (see below), whose sum is σ = 1491499785600. Its totient is φ = 123574126592.

The previous prime is 480273724663. The next prime is 480273724703. The reversal of 480273724680 is 86427372084.

480273724680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×480273724680² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5254732 + ... + 5345348.

It is an arithmetic number, because the mean of its divisors is an integer number (11652342075).

Almost surely, 2^480273724680 is an apocalyptic number.

480273724680 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 480273724680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745749892800).

480273724680 is an abundant number, since it is smaller than the sum of its proper divisors (1011226060920).

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

480273724680 is a wasteful number, since it uses less digits than its factorization.

480273724680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92183 (or 92179 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 480273724680 in words is "four hundred eighty billion, two hundred seventy-three million, seven hundred twenty-four thousand, six hundred eighty".