486596880 has 480 divisors, whose sum is σ = 2083580928. Its totient is φ = 98841600.

The previous prime is 486596849. The next prime is 486596893. The reversal of 486596880 is 88695684.

It is a happy number.

486596880 is a `hidden beast` number, since 48 + 6 + 596 + 8 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3714415 + ... + 3714545.

Almost surely, 2^486596880 is an apocalyptic number.

486596880 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 486596880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041790464).

486596880 is an abundant number, since it is smaller than the sum of its proper divisors (1596984048).

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

486596880 is a wasteful number, since it uses less digits than its factorization.

486596880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

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

The square root of 486596880 is about 22058.9410443929. The cubic root of 486596880 is about 786.5441524552.

The spelling of 486596880 in words is "four hundred eighty-six million, five hundred ninety-six thousand, eight hundred eighty".