488319680 has 28 divisors (see below), whose sum is σ = 1162812000. Its totient is φ = 195327744.

The previous prime is 488319641. The next prime is 488319683. The reversal of 488319680 is 86913884.

It is a super-2 number, since 2×488319680² = 476912219750604800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (488319683) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 762680 + ... + 763319.

It is an arithmetic number, because the mean of its divisors is an integer number (41529000).

Almost surely, 2^488319680 is an apocalyptic number.

488319680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488319680 is an abundant number, since it is smaller than the sum of its proper divisors (674492320).

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

488319680 is a wasteful number, since it uses less digits than its factorization.

488319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526016 (or 1526006 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 488319680 is about 22097.9564666057. The cubic root of 488319680 is about 787.4713143158.

The spelling of 488319680 in words is "four hundred eighty-eight million, three hundred nineteen thousand, six hundred eighty".