488587680 has 384 divisors, whose sum is σ = 1985679360. Its totient is φ = 109900800.

The previous prime is 488587663. The next prime is 488587703. The reversal of 488587680 is 86785884.

488587680 is a `hidden beast` number, since 488 + 5 + 87 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3235605 + ... + 3235755.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^488587680 is an apocalyptic number.

488587680 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 488587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992839680).

488587680 is an abundant number, since it is smaller than the sum of its proper divisors (1497091680).

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

488587680 is a wasteful number, since it uses less digits than its factorization.

488587680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 488587680 is about 22104.0195439653. The cubic root of 488587680 is about 787.6153481830.

The spelling of 488587680 in words is "four hundred eighty-eight million, five hundred eighty-seven thousand, six hundred eighty".