488585680 has 80 divisors (see below), whose sum is σ = 1265704704. Its totient is φ = 173872640.

The previous prime is 488585677. The next prime is 488585683. The reversal of 488585680 is 86585884.

It is an interprime number because it is at equal distance from previous prime (488585677) and next prime (488585683).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488585683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35454 + ... + 47266.

Almost surely, 2^488585680 is an apocalyptic number.

488585680 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 488585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632852352).

488585680 is an abundant number, since it is smaller than the sum of its proper divisors (777119024).

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

488585680 is a wasteful number, since it uses less digits than its factorization.

488585680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11884 (or 11878 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 52.

The square root of 488585680 is about 22103.9743032786. The cubic root of 488585680 is about 787.6142734985.

The spelling of 488585680 in words is "four hundred eighty-eight million, five hundred eighty-five thousand, six hundred eighty".