488011680 has 288 divisors, whose sum is σ = 1816214400. Its totient is φ = 118609920.

The previous prime is 488011679. The next prime is 488011691. The reversal of 488011680 is 86110884.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2452221 + ... + 2452419.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^488011680 is an apocalyptic number.

488011680 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 488011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908107200).

488011680 is an abundant number, since it is smaller than the sum of its proper divisors (1328202720).

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

488011680 is a wasteful number, since it uses less digits than its factorization.

488011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 488011680 is about 22090.9863971711. The cubic root of 488011680 is about 787.3057177571.

The spelling of 488011680 in words is "four hundred eighty-eight million, eleven thousand, six hundred eighty".