488871680 has 72 divisors (see below), whose sum is σ = 1277491824. Its totient is φ = 177766400.

The previous prime is 488871661. The next prime is 488871683. The reversal of 488871680 is 86178884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488871683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3281 + ... + 31440.

It is an arithmetic number, because the mean of its divisors is an integer number (17742942).

Almost surely, 2^488871680 is an apocalyptic number.

488871680 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 488871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638745912).

488871680 is an abundant number, since it is smaller than the sum of its proper divisors (788620144).

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

488871680 is a wasteful number, since it uses less digits than its factorization.

488871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34753 (or 34739 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 50.

The square root of 488871680 is about 22110.4427816360. The cubic root of 488871680 is about 787.7679236178.

The spelling of 488871680 in words is "four hundred eighty-eight million, eight hundred seventy-one thousand, six hundred eighty".