446064066 has 48 divisors (see below), whose sum is σ = 1112529600. Its totient is φ = 126525024.

The previous prime is 446064029. The next prime is 446064067. The reversal of 446064066 is 660460644.

It is a happy number.

446064066 is a `hidden beast` number, since 4 + 4 + 6 + 0 + 640 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 446064066.

It is not an unprimeable number, because it can be changed into a prime (446064067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4780 + ... + 30248.

It is an arithmetic number, because the mean of its divisors is an integer number (23177700).

Almost surely, 2^446064066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446064066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556264800).

446064066 is an abundant number, since it is smaller than the sum of its proper divisors (666465534).

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

446064066 is a wasteful number, since it uses less digits than its factorization.

446064066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25623 (or 25620 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 446064066 is about 21120.2288339876. The cubic root of 446064066 is about 764.0687065299.

The spelling of 446064066 in words is "four hundred forty-six million, sixty-four thousand, sixty-six".