446813664 has 96 divisors (see below), whose sum is σ = 1320883200. Its totient is φ = 131020800.

The previous prime is 446813659. The next prime is 446813683. The reversal of 446813664 is 466318644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25912 + ... + 39560.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2^446813664 is an apocalyptic number.

446813664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446813664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

446813664 is an abundant number, since it is smaller than the sum of its proper divisors (874069536).

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

446813664 is a wasteful number, since it uses less digits than its factorization.

446813664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13704 (or 13696 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 446813664 is about 21137.9673573407. The cubic root of 446813664 is about 764.4964655973.

The spelling of 446813664 in words is "four hundred forty-six million, eight hundred thirteen thousand, six hundred sixty-four".