445629216 has 96 divisors (see below), whose sum is σ = 1217438208. Its totient is φ = 142571520.

The previous prime is 445629199. The next prime is 445629251. The reversal of 445629216 is 612926544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 407166 + ... + 408258.

It is an arithmetic number, because the mean of its divisors is an integer number (12681648).

Almost surely, 2^445629216 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 445629216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608719104).

445629216 is an abundant number, since it is smaller than the sum of its proper divisors (771808992).

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

445629216 is a wasteful number, since it uses less digits than its factorization.

445629216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1266 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 445629216 is about 21109.9316910311. The cubic root of 445629216 is about 763.8203391403.

The spelling of 445629216 in words is "four hundred forty-five million, six hundred twenty-nine thousand, two hundred sixteen".