488608680 has 256 divisors, whose sum is σ = 1751040000. Its totient is φ = 106748928.

The previous prime is 488608651. The next prime is 488608709. The reversal of 488608680 is 86806884.

It is an interprime number because it is at equal distance from previous prime (488608651) and next prime (488608709).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2455221 + ... + 2455419.

It is an arithmetic number, because the mean of its divisors is an integer number (6840000).

Almost surely, 2^488608680 is an apocalyptic number.

488608680 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 488608680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875520000).

488608680 is an abundant number, since it is smaller than the sum of its proper divisors (1262431320).

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

488608680 is a wasteful number, since it uses less digits than its factorization.

488608680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 488608680 is about 22104.4945655855. The cubic root of 488608680 is about 787.6266321934.

The spelling of 488608680 in words is "four hundred eighty-eight million, six hundred eight thousand, six hundred eighty".