446505696 has 288 divisors, whose sum is σ = 1623218688. Its totient is φ = 117573120.

The previous prime is 446505691. The next prime is 446505743. The reversal of 446505696 is 696505644.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446505691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707301 + ... + 707931.

It is an arithmetic number, because the mean of its divisors is an integer number (5636176).

Almost surely, 2^446505696 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 446505696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811609344).

446505696 is an abundant number, since it is smaller than the sum of its proper divisors (1176712992).

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

446505696 is a wasteful number, since it uses less digits than its factorization.

446505696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 446505696 is about 21130.6813898653. The cubic root of 446505696 is about 764.3207812051.

The spelling of 446505696 in words is "four hundred forty-six million, five hundred five thousand, six hundred ninety-six".