480729927084 has 144 divisors (see below), whose sum is σ = 1268567908608. Its totient is φ = 141481296000.

The previous prime is 480729927079. The next prime is 480729927101.

480729927084 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×480729927084³ (a number of 36 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, 30668569 + ... + 30684239.

Almost surely, 2^480729927084 is an apocalyptic number.

480729927084 is a gapful number since it is divisible by the number (44) 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 480729927084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634283954304).

480729927084 is an abundant number, since it is smaller than the sum of its proper divisors (787837981524).

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

480729927084 is a wasteful number, since it uses less digits than its factorization.

480729927084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16308 (or 16295 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 480729927084 in words is "four hundred eighty billion, seven hundred twenty-nine million, nine hundred twenty-seven thousand, eighty-four".