445607568 has 180 divisors, whose sum is σ = 1505059920. Its totient is φ = 127262016.

The previous prime is 445607531. The next prime is 445607593. The reversal of 445607568 is 865706544.

It is a super-2 number, since 2×445607568² = 397132209317749248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189343 + ... + 191681.

It is an arithmetic number, because the mean of its divisors is an integer number (8361444).

Almost surely, 2^445607568 is an apocalyptic number.

445607568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445607568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752529960).

445607568 is an abundant number, since it is smaller than the sum of its proper divisors (1059452352).

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

445607568 is a wasteful number, since it uses less digits than its factorization.

445607568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 445607568 is about 21109.4189403688. The cubic root of 445607568 is about 763.8079705240.

The spelling of 445607568 in words is "four hundred forty-five million, six hundred seven thousand, five hundred sixty-eight".