486895680 has 168 divisors, whose sum is σ = 1683346392. Its totient is φ = 129171456.

The previous prime is 486895663. The next prime is 486895699. The reversal of 486895680 is 86598684.

It is a happy number.

486895680 is a `hidden beast` number, since 486 + 89 + 5 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 321413184 + 165482496 = 17928^2 + 12864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843552 + ... + 844128.

It is an arithmetic number, because the mean of its divisors is an integer number (10019919).

Almost surely, 2^486895680 is an apocalyptic number.

486895680 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 486895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841673196).

486895680 is an abundant number, since it is smaller than the sum of its proper divisors (1196450712).

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

486895680 is a wasteful number, since it uses less digits than its factorization.

486895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 486895680 is about 22065.7127689091. The cubic root of 486895680 is about 786.7051147859.

The spelling of 486895680 in words is "four hundred eighty-six million, eight hundred ninety-five thousand, six hundred eighty".