488168720 has 80 divisors (see below), whose sum is σ = 1226588160. Its totient is φ = 179615232.

The previous prime is 488168711. The next prime is 488168731. The reversal of 488168720 is 27861884.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381041 + ... + 382319.

It is an arithmetic number, because the mean of its divisors is an integer number (15332352).

Almost surely, 2^488168720 is an apocalyptic number.

488168720 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 488168720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613294080).

488168720 is an abundant number, since it is smaller than the sum of its proper divisors (738419440).

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

488168720 is a wasteful number, since it uses less digits than its factorization.

488168720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 488168720 is about 22094.5405021240. The cubic root of 488168720 is about 787.3901591993.

The spelling of 488168720 in words is "four hundred eighty-eight million, one hundred sixty-eight thousand, seven hundred twenty".