486339379200 has 864 divisors, whose sum is σ = 1872330163200. Its totient is φ = 123532738560.

The previous prime is 486339379159. The next prime is 486339379231. The reversal of 486339379200 is 2973933684.

486339379200 is a `hidden beast` number, since 4 + 8 + 63 + 3 + 9 + 379 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2034892681 + ... + 2034892919.

It is an arithmetic number, because the mean of its divisors is an integer number (2167048800).

Almost surely, 2^486339379200 is an apocalyptic number.

486339379200 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 486339379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936165081600).

486339379200 is an abundant number, since it is smaller than the sum of its proper divisors (1385990784000).

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

486339379200 is an equidigital number, since it uses as much as digits as its factorization.

486339379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 486339379200 in words is "four hundred eighty-six billion, three hundred thirty-nine million, three hundred seventy-nine thousand, two hundred".