488805768 has 192 divisors, whose sum is σ = 1528750080. Its totient is φ = 139708800.

The previous prime is 488805763. The next prime is 488805769. The reversal of 488805768 is 867508884.

It is not an unprimeable number, because it can be changed into a prime (488805763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055505 + ... + 1055967.

It is an arithmetic number, because the mean of its divisors is an integer number (7962240).

Almost surely, 2^488805768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488805768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764375040).

488805768 is an abundant number, since it is smaller than the sum of its proper divisors (1039944312).

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

488805768 is a wasteful number, since it uses less digits than its factorization.

488805768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 488805768 is about 22108.9522139788. The cubic root of 488805768 is about 787.7325184899.

The spelling of 488805768 in words is "four hundred eighty-eight million, eight hundred five thousand, seven hundred sixty-eight".