446406912 has 216 divisors, whose sum is σ = 1492283520. Its totient is φ = 125706240.

The previous prime is 446406911. The next prime is 446406937. The reversal of 446406912 is 219604644.

446406912 is a `hidden beast` number, since 4 + 4 + 640 + 6 + 9 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (446406911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435237 + ... + 1435547.

It is an arithmetic number, because the mean of its divisors is an integer number (6908720).

Almost surely, 2^446406912 is an apocalyptic number.

446406912 is a gapful number since it is divisible by the number (42) 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 446406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746141760).

446406912 is an abundant number, since it is smaller than the sum of its proper divisors (1045876608).

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

446406912 is a wasteful number, since it uses less digits than its factorization.

446406912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 446406912 is about 21128.3438063659. The cubic root of 446406912 is about 764.2644114630.

The spelling of 446406912 in words is "four hundred forty-six million, four hundred six thousand, nine hundred twelve".