480828502316627 has 32 divisors (see below), whose sum is σ = 504321676346880. Its totient is φ = 458010167328000.

The previous prime is 480828502316597. The next prime is 480828502316653. The reversal of 480828502316627 is 726613205828084.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 480828502316627 - 2³⁰ = 480827428574803 is a prime.

It is a super-3 number, since 3×480828502316627³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480828502316627.

It is not an unprimeable number, because it can be changed into a prime (480828502316027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2010276752 + ... + 2010515922.

It is an arithmetic number, because the mean of its divisors is an integer number (15760052385840).

Almost surely, 2^{480828502316627} is an apocalyptic number.

480828502316627 is a deficient number, since it is larger than the sum of its proper divisors (23493174030253).

480828502316627 is a wasteful number, since it uses less digits than its factorization.

480828502316627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245195.

The product of its (nonzero) digits is 61931520, while the sum is 62.

The spelling of 480828502316627 in words is "four hundred eighty trillion, eight hundred twenty-eight billion, five hundred two million, three hundred sixteen thousand, six hundred twenty-seven".