445207168 has 64 divisors (see below), whose sum is σ = 1021648320. Its totient is φ = 189296640.

The previous prime is 445207141. The next prime is 445207181. The reversal of 445207168 is 861702544.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115480 + ... + 119272.

It is an arithmetic number, because the mean of its divisors is an integer number (15963255).

Almost surely, 2^445207168 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 445207168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510824160).

445207168 is an abundant number, since it is smaller than the sum of its proper divisors (576441152).

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

445207168 is a wasteful number, since it uses less digits than its factorization.

445207168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 445207168 is about 21099.9328908885. The cubic root of 445207168 is about 763.5791291399.

The spelling of 445207168 in words is "four hundred forty-five million, two hundred seven thousand, one hundred sixty-eight".