488883960 has 288 divisors, whose sum is σ = 1747100160. Its totient is φ = 118444032.

The previous prime is 488883949. The next prime is 488884007. The reversal of 488883960 is 69388884.

It is a junction number, because it is equal to n+sod(n) for n = 488883897 and 488883906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3849417 + ... + 3849543.

It is an arithmetic number, because the mean of its divisors is an integer number (6066320).

Almost surely, 2^488883960 is an apocalyptic number.

488883960 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 488883960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873550080).

488883960 is an abundant number, since it is smaller than the sum of its proper divisors (1258216200).

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

488883960 is a wasteful number, since it uses less digits than its factorization.

488883960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 488883960 is about 22110.7204767280. The cubic root of 488883960 is about 787.7745195607.

The spelling of 488883960 in words is "four hundred eighty-eight million, eight hundred eighty-three thousand, nine hundred sixty".