488712960 has 288 divisors, whose sum is σ = 1766016000. Its totient is φ = 127954944.

The previous prime is 488712949. The next prime is 488712967. The reversal of 488712960 is 69217884.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (488712967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730151 + ... + 2730329.

It is an arithmetic number, because the mean of its divisors is an integer number (6132000).

Almost surely, 2^488712960 is an apocalyptic number.

488712960 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 488712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008000).

488712960 is an abundant number, since it is smaller than the sum of its proper divisors (1277303040).

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

488712960 is a wasteful number, since it uses less digits than its factorization.

488712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 488712960 is about 22106.8532360442. The cubic root of 488712960 is about 787.6826605765.

The spelling of 488712960 in words is "four hundred eighty-eight million, seven hundred twelve thousand, nine hundred sixty".