488967680 has 80 divisors (see below), whose sum is σ = 1177759440. Its totient is φ = 194691072.

The previous prime is 488967673. The next prime is 488967697. The reversal of 488967680 is 86769884.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046807 + ... + 1047273.

It is an arithmetic number, because the mean of its divisors is an integer number (14721993).

Almost surely, 2^488967680 is an apocalyptic number.

488967680 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 488967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588879720).

488967680 is an abundant number, since it is smaller than the sum of its proper divisors (688791760).

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

488967680 is an equidigital number, since it uses as much as digits as its factorization.

488967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The square root of 488967680 is about 22112.6135949598. The cubic root of 488967680 is about 787.8194850493.

The spelling of 488967680 in words is "four hundred eighty-eight million, nine hundred sixty-seven thousand, six hundred eighty".