486313984000 has 256 divisors, whose sum is σ = 1307335170960. Its totient is φ = 179542425600.

The previous prime is 486313983989. The next prime is 486313984007. The reversal of 486313984000 is 489313684.

It can be written as a sum of positive squares in 8 ways, for example, as 10147741696 + 476166242304 = 100736^2 + 690048^2 .

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486313984007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53243434 + ... + 53252566.

Almost surely, 2^486313984000 is an apocalyptic number.

486313984000 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 486313984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653667585480).

486313984000 is an abundant number, since it is smaller than the sum of its proper divisors (821021186960).

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

486313984000 is an frugal number, since it uses more digits than its factorization.

486313984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 486313984000 in words is "four hundred eighty-six billion, three hundred thirteen million, nine hundred eighty-four thousand".