488048448080 has 80 divisors (see below), whose sum is σ = 1201802968080. Its totient is φ = 183683506176.

The previous prime is 488048448071. The next prime is 488048448187. The reversal of 488048448080 is 80844840884.

It can be written as a sum of positive squares in 8 ways, for example, as 134251891216 + 353796556864 = 366404^2 + 594808^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4896986 + ... + 4995654.

It is an arithmetic number, because the mean of its divisors is an integer number (15022537101).

Almost surely, 2^488048448080 is an apocalyptic number.

488048448080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488048448080 is an abundant number, since it is smaller than the sum of its proper divisors (713754520000).

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

488048448080 is a wasteful number, since it uses less digits than its factorization.

488048448080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102336 (or 102330 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 56.

The spelling of 488048448080 in words is "four hundred eighty-eight billion, forty-eight million, four hundred forty-eight thousand, eighty".