466319821800 has 192 divisors, whose sum is σ = 1652783500800. Its totient is φ = 106543584000.

The previous prime is 466319821777. The next prime is 466319821811. The reversal of 466319821800 is 8128913664.

It is a self number, because there is not a number n which added to its sum of digits gives 466319821800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10810275 + ... + 10853325.

It is an arithmetic number, because the mean of its divisors is an integer number (8608247400).

Almost surely, 2^466319821800 is an apocalyptic number.

466319821800 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 466319821800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826391750400).

466319821800 is an abundant number, since it is smaller than the sum of its proper divisors (1186463679000).

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

466319821800 is a wasteful number, since it uses less digits than its factorization.

466319821800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45656 (or 45647 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 466319821800 in words is "four hundred sixty-six billion, three hundred nineteen million, eight hundred twenty-one thousand, eight hundred".