486116640 has 144 divisors (see below), whose sum is σ = 1720450368. Its totient is φ = 129620736.

The previous prime is 486116597. The next prime is 486116669. The reversal of 486116640 is 46611684.

486116640 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×486116640³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 486116595 and 486116604.

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, 32629 + ... + 45131.

It is an arithmetic number, because the mean of its divisors is an integer number (11947572).

Almost surely, 2^486116640 is an apocalyptic number.

486116640 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 486116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860225184).

486116640 is an abundant number, since it is smaller than the sum of its proper divisors (1234333728).

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

486116640 is a wasteful number, since it uses less digits than its factorization.

486116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12533 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 486116640 is about 22048.0529752629. The cubic root of 486116640 is about 786.2853110250.

The spelling of 486116640 in words is "four hundred eighty-six million, one hundred sixteen thousand, six hundred forty".