466629856 has 192 divisors, whose sum is σ = 1219276800. Its totient is φ = 170496000.

The previous prime is 466629841. The next prime is 466629871. The reversal of 466629856 is 658926664.

It is an interprime number because it is at equal distance from previous prime (466629841) and next prime (466629871).

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 31 ways as a sum of consecutive naturals, for example, 3131670 + ... + 3131818.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^466629856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466629856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

466629856 is an abundant number, since it is smaller than the sum of its proper divisors (752646944).

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

466629856 is a wasteful number, since it uses less digits than its factorization.

466629856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The square root of 466629856 is about 21601.6169765136. The cubic root of 466629856 is about 775.6351953763.

The spelling of 466629856 in words is "four hundred sixty-six million, six hundred twenty-nine thousand, eight hundred fifty-six".