488800960 has 56 divisors (see below), whose sum is σ = 1166262336. Its totient is φ = 195133440.

The previous prime is 488800951. The next prime is 488800967. The reversal of 488800960 is 69008884.

It is not an unprimeable number, because it can be changed into a prime (488800967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203929 + ... + 206311.

Almost surely, 2^488800960 is an apocalyptic number.

488800960 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 488800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583131168).

488800960 is an abundant number, since it is smaller than the sum of its proper divisors (677461376).

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

488800960 is a wasteful number, since it uses less digits than its factorization.

488800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 488800960 is about 22108.8434794767. The cubic root of 488800960 is about 787.7299357119.

The spelling of 488800960 in words is "four hundred eighty-eight million, eight hundred thousand, nine hundred sixty".