445575168 has 260 divisors, whose sum is σ = 1427199840. Its totient is φ = 138018816.

The previous prime is 445575161. The next prime is 445575239. The reversal of 445575168 is 861575544.

445575168 is a `hidden beast` number, since 44 + 557 + 51 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445575161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5640153 + ... + 5640231.

Almost surely, 2^445575168 is an apocalyptic number.

445575168 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 445575168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713599920).

445575168 is an abundant number, since it is smaller than the sum of its proper divisors (981624672).

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

445575168 is an equidigital number, since it uses as much as digits as its factorization.

445575168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 445575168 is about 21108.6514964836. The cubic root of 445575168 is about 763.7894579882.

The spelling of 445575168 in words is "four hundred forty-five million, five hundred seventy-five thousand, one hundred sixty-eight".