468859392000 has 312 divisors, whose sum is σ = 1690204659000. Its totient is φ = 125027942400.

The previous prime is 468859391969. The next prime is 468859392049. The reversal of 468859392000 is 293958864.

468859392000 is a `hidden beast` number, since 46 + 8 + 8 + 593 + 9 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4804153344 + 464055238656 = 69312^2 + 681216^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4557126 + ... + 4658874.

It is an arithmetic number, because the mean of its divisors is an integer number (5417322625).

Almost surely, 2^468859392000 is an apocalyptic number.

468859392000 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 468859392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845102329500).

468859392000 is an abundant number, since it is smaller than the sum of its proper divisors (1221345267000).

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

468859392000 is a wasteful number, since it uses less digits than its factorization.

468859392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101794 (or 101759 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 468859392000 in words is "four hundred sixty-eight billion, eight hundred fifty-nine million, three hundred ninety-two thousand".