445041216 has 105 divisors (see below), whose sum is σ = 1323759481. Its totient is φ = 147840768.

The previous prime is 445041211. The next prime is 445041229. The reversal of 445041216 is 612140544.

The square root of 445041216 is 21096.

It is a perfect power (a square), and thus also a powerful number.

445041216 is a `hidden beast` number, since 445 + 0 + 4 + 1 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 421070400 + 23970816 = 20520^2 + 4896^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 445041216.

It is not an unprimeable number, because it can be changed into a prime (445041211) 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 14 ways as a sum of consecutive naturals, for example, 1518766 + ... + 1519058.

Almost surely, 2^445041216 is an apocalyptic number.

445041216 is the 21096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445041216

445041216 is an abundant number, since it is smaller than the sum of its proper divisors (878718265).

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

445041216 is an frugal number, since it uses more digits than its factorization.

445041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 445041216 is about 763.4842420546.

The spelling of 445041216 in words is "four hundred forty-five million, forty-one thousand, two hundred sixteen".