488720560 has 80 divisors (see below), whose sum is σ = 1194209280. Its totient is φ = 185644800.

The previous prime is 488720543. The next prime is 488720563. The reversal of 488720560 is 65027884.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (488720563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276961 + ... + 278719.

It is an arithmetic number, because the mean of its divisors is an integer number (14927616).

Almost surely, 2^488720560 is an apocalyptic number.

488720560 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 488720560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597104640).

488720560 is an abundant number, since it is smaller than the sum of its proper divisors (705488720).

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

488720560 is a wasteful number, since it uses less digits than its factorization.

488720560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 488720560 is about 22107.0251277733. The cubic root of 488720560 is about 787.6867436529.

The spelling of 488720560 in words is "four hundred eighty-eight million, seven hundred twenty thousand, five hundred sixty".