488084480884 has 96 divisors (see below), whose sum is σ = 1158651760896. Its totient is φ = 173725102080.

The previous prime is 488084480881. The next prime is 488084480911.

488084480884 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×488084480884² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488084480881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239959 + ... + 1016734.

It is an arithmetic number, because the mean of its divisors is an integer number (12069289176).

Almost surely, 2^488084480884 is an apocalyptic number.

488084480884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

488084480884 is an abundant number, since it is smaller than the sum of its proper divisors (670567280012).

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

488084480884 is a wasteful number, since it uses less digits than its factorization.

488084480884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256825 (or 1256823 counting only the distinct ones).

The product of its (nonzero) digits is 67108864, while the sum is 64.

The spelling of 488084480884 in words is "four hundred eighty-eight billion, eighty-four million, four hundred eighty thousand, eight hundred eighty-four".