466605216 has 288 divisors, whose sum is σ = 1689787008. Its totient is φ = 118609920.

The previous prime is 466605193. The next prime is 466605233. The reversal of 466605216 is 612506664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175130 + ... + 1175526.

It is an arithmetic number, because the mean of its divisors is an integer number (5867316).

Almost surely, 2^466605216 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 466605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844893504).

466605216 is an abundant number, since it is smaller than the sum of its proper divisors (1223181792).

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

466605216 is a wasteful number, since it uses less digits than its factorization.

466605216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 466605216 is about 21601.0466413088. The cubic root of 466605216 is about 775.6215428796.

The spelling of 466605216 in words is "four hundred sixty-six million, six hundred five thousand, two hundred sixteen".