445034016 has 144 divisors (see below), whose sum is σ = 1493227008. Its totient is φ = 123033600.

The previous prime is 445033999. The next prime is 445034027. The reversal of 445034016 is 610430544.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58936 + ... + 66056.

It is an arithmetic number, because the mean of its divisors is an integer number (10369632).

Almost surely, 2^445034016 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 445034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746613504).

445034016 is an abundant number, since it is smaller than the sum of its proper divisors (1048192992).

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

445034016 is a wasteful number, since it uses less digits than its factorization.

445034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 445034016 is about 21095.8293508456. The cubic root of 445034016 is about 763.4801247459.

The spelling of 445034016 in words is "four hundred forty-five million, thirty-four thousand, sixteen".