445916016 has 400 divisors, whose sum is σ = 1680448000. Its totient is φ = 110854656.

The previous prime is 445916011. The next prime is 445916101. The reversal of 445916016 is 610619544.

445916016 is a `hidden beast` number, since 4 + 4 + 591 + 60 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445916011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2240685 + ... + 2240883.

It is an arithmetic number, because the mean of its divisors is an integer number (4201120).

Almost surely, 2^445916016 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 445916016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840224000).

445916016 is an abundant number, since it is smaller than the sum of its proper divisors (1234531984).

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

445916016 is a wasteful number, since it uses less digits than its factorization.

445916016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 445916016 is about 21116.7236094997. The cubic root of 445916016 is about 763.9841649450.

The spelling of 445916016 in words is "four hundred forty-five million, nine hundred sixteen thousand, sixteen".