486864000 has 768 divisors, whose sum is σ = 2176761600. Its totient is φ = 106444800.

The previous prime is 486863983. The next prime is 486864011. The reversal of 486864000 is 468684.

486864000 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 640 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21167989 + ... + 21168011.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^486864000 is an apocalyptic number.

486864000 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 486864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088380800).

486864000 is an abundant number, since it is smaller than the sum of its proper divisors (1689897600).

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

486864000 is a wasteful number, since it uses less digits than its factorization.

486864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 486864000 is about 22064.9949014270. The cubic root of 486864000 is about 786.6880520217.

The spelling of 486864000 in words is "four hundred eighty-six million, eight hundred sixty-four thousand".