446004064 has 72 divisors (see below), whose sum is σ = 971293680. Its totient is φ = 201442560.

The previous prime is 446004049. The next prime is 446004067. The reversal of 446004064 is 460400644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446004067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 886437 + ... + 886939.

It is an arithmetic number, because the mean of its divisors is an integer number (13490190).

Almost surely, 2^446004064 is an apocalyptic number.

446004064 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 446004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485646840).

446004064 is an abundant number, since it is smaller than the sum of its proper divisors (525289616).

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

446004064 is a wasteful number, since it uses less digits than its factorization.

446004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 446004064 is about 21118.8082997124. The cubic root of 446004064 is about 764.0344456021.

The spelling of 446004064 in words is "four hundred forty-six million, four thousand, sixty-four".