488417879160 has 384 divisors, whose sum is σ = 1745830195200. Its totient is φ = 122383042560.

The previous prime is 488417879123. The next prime is 488417879179. The reversal of 488417879160 is 61978714884.

488417879160 is a `hidden beast` number, since 4 + 88 + 417 + 87 + 9 + 1 + 60 = 666.

It is a Cunningham number, because it is equal to 698869²-1.

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 95 ways as a sum of consecutive naturals, for example, 118805505 + ... + 118809615.

It is an arithmetic number, because the mean of its divisors is an integer number (4546432800).

Almost surely, 2^488417879160 is an apocalyptic number.

488417879160 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 488417879160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872915097600).

488417879160 is an abundant number, since it is smaller than the sum of its proper divisors (1257412316040).

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

488417879160 is a wasteful number, since it uses less digits than its factorization.

488417879160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 488417879160 in words is "four hundred eighty-eight billion, four hundred seventeen million, eight hundred seventy-nine thousand, one hundred sixty".