466812128 has 96 divisors (see below), whose sum is σ = 989737056. Its totient is φ = 216373248.

The previous prime is 466812119. The next prime is 466812139. The reversal of 466812128 is 821218664.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 466812091 and 466812100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2698250 + ... + 2698422.

It is an arithmetic number, because the mean of its divisors is an integer number (10309761).

Almost surely, 2^466812128 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 466812128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494868528).

466812128 is an abundant number, since it is smaller than the sum of its proper divisors (522924928).

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

466812128 is a wasteful number, since it uses less digits than its factorization.

466812128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 466812128 is about 21605.8355080288. The cubic root of 466812128 is about 775.7361734660.

The spelling of 466812128 in words is "four hundred sixty-six million, eight hundred twelve thousand, one hundred twenty-eight".