466575482880 has 1792 divisors, whose sum is σ = 1997541181440. Its totient is φ = 102148079616.

The previous prime is 466575482861. The next prime is 466575482887. The reversal of 466575482880 is 88284575664.

466575482880 is a `hidden beast` number, since 4 + 6 + 6 + 5 + 7 + 548 + 2 + 8 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466575482887) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5621391319 + ... + 5621391401.

It is an arithmetic number, because the mean of its divisors is an integer number (1114699320).

Almost surely, 2^466575482880 is an apocalyptic number.

466575482880 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 466575482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998770590720).

466575482880 is an abundant number, since it is smaller than the sum of its proper divisors (1530965698560).

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

466575482880 is a wasteful number, since it uses less digits than its factorization.

466575482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 466575482880 in words is "four hundred sixty-six billion, five hundred seventy-five million, four hundred eighty-two thousand, eight hundred eighty".