466937856 has 432 divisors, whose sum is σ = 1747811520. Its totient is φ = 118702080.

The previous prime is 466937851. The next prime is 466937909. The reversal of 466937856 is 658739664.

It is a super-2 number, since 2×466937856² = 436061922731753472, which contains 22 as substring.

Its product of digits (6531840) is a multiple of the sum of its prime divisors (70).

It is not an unprimeable number, because it can be changed into a prime (466937851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9934825 + ... + 9934871.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2^466937856 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 466937856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873905760).

466937856 is an abundant number, since it is smaller than the sum of its proper divisors (1280873664).

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

466937856 is a wasteful number, since it uses less digits than its factorization.

466937856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 466937856 is about 21608.7448964534. The cubic root of 466937856 is about 775.8058110475.

The spelling of 466937856 in words is "four hundred sixty-six million, nine hundred thirty-seven thousand, eight hundred fifty-six".