466338816 has 176 divisors, whose sum is σ = 1403095680. Its totient is φ = 152985600.

The previous prime is 466338811. The next prime is 466338857. The reversal of 466338816 is 618833664.

466338816 is a `hidden beast` number, since 4 + 6 + 633 + 8 + 8 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (466338811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2792365 + ... + 2792531.

Almost surely, 2^466338816 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 466338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701547840).

466338816 is an abundant number, since it is smaller than the sum of its proper divisors (936756864).

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

466338816 is a wasteful number, since it uses less digits than its factorization.

466338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 466338816 is about 21594.8793930413. The cubic root of 466338816 is about 775.4739056426.

The spelling of 466338816 in words is "four hundred sixty-six million, three hundred thirty-eight thousand, eight hundred sixteen".