488560680 has 256 divisors, whose sum is σ = 1775520000. Its totient is φ = 119024640.

The previous prime is 488560663. The next prime is 488560741. The reversal of 488560680 is 86065884.

488560680 is a `hidden beast` number, since 4 + 8 + 8 + 560 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 594670 + ... + 595490.

It is an arithmetic number, because the mean of its divisors is an integer number (6935625).

Almost surely, 2^488560680 is an apocalyptic number.

488560680 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 488560680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887760000).

488560680 is an abundant number, since it is smaller than the sum of its proper divisors (1286959320).

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

488560680 is a wasteful number, since it uses less digits than its factorization.

488560680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 488560680 is about 22103.4087868817. The cubic root of 488560680 is about 787.6008396946.

The spelling of 488560680 in words is "four hundred eighty-eight million, five hundred sixty thousand, six hundred eighty".