445337216 has 32 divisors (see below), whose sum is σ = 891128100. Its totient is φ = 221681664.

The previous prime is 445337213. The next prime is 445337231. The reversal of 445337216 is 612733544.

It can be written as a sum of positive squares in 2 ways, for example, as 308353600 + 136983616 = 17560^2 + 11704^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (445337213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21716 + ... + 36908.

Almost surely, 2^445337216 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 445337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445564050).

445337216 is an abundant number, since it is smaller than the sum of its proper divisors (445790884).

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

445337216 is a wasteful number, since it uses less digits than its factorization.

445337216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15436 (or 15424 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 445337216 is about 21103.0143818365. The cubic root of 445337216 is about 763.6534707636.

The spelling of 445337216 in words is "four hundred forty-five million, three hundred thirty-seven thousand, two hundred sixteen".