445106016 has 72 divisors (see below), whose sum is σ = 1312673544. Its totient is φ = 148366080.

The previous prime is 445105979. The next prime is 445106021. The reversal of 445106016 is 610601544.

445106016 is a `hidden beast` number, since 4 + 4 + 51 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20845 + ... + 36396.

It is an arithmetic number, because the mean of its divisors is an integer number (18231577).

Almost surely, 2^445106016 is an apocalyptic number.

It is an amenable number.

445106016 is an abundant number, since it is smaller than the sum of its proper divisors (867567528).

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

445106016 is an equidigital number, since it uses as much as digits as its factorization.

445106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57266 (or 57246 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 445106016 is about 21097.5357802754. The cubic root of 445106016 is about 763.5212958345.

The spelling of 445106016 in words is "four hundred forty-five million, one hundred six thousand, sixteen".