466867459752480 has 384 divisors, whose sum is σ = 1720085522400000. Its totient is φ = 117942205538304.

The previous prime is 466867459752479. The next prime is 466867459752503. The reversal of 466867459752480 is 84257954768664.

466867459752480 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 6 + 7 + 4 + 5 + 9 + 7 + 524 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 466867459752480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4643133246 + ... + 4643233794.

It is an arithmetic number, because the mean of its divisors is an integer number (4479389381250).

Almost surely, 2^{466867459752480} is an apocalyptic number.

466867459752480 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 466867459752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860042761200000).

466867459752480 is an abundant number, since it is smaller than the sum of its proper divisors (1253218062647520).

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

466867459752480 is a wasteful number, since it uses less digits than its factorization.

466867459752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157161 (or 157147 counting only the distinct ones).

The product of its (nonzero) digits is 19508428800, while the sum is 81.

The spelling of 466867459752480 in words is "four hundred sixty-six trillion, eight hundred sixty-seven billion, four hundred fifty-nine million, seven hundred fifty-two thousand, four hundred eighty".