445536960 has 224 divisors, whose sum is σ = 1594128384. Its totient is φ = 104448000.

The previous prime is 445536953. The next prime is 445536961. The reversal of 445536960 is 69635544.

It is not an unprimeable number, because it can be changed into a prime (445536961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326680 + ... + 328040.

Almost surely, 2^445536960 is an apocalyptic number.

445536960 is a gapful number since it is divisible by the number (40) 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 445536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797064192).

445536960 is an abundant number, since it is smaller than the sum of its proper divisors (1148591424).

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

445536960 is a wasteful number, since it uses less digits than its factorization.

445536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 445536960 is about 21107.7464453219. The cubic root of 445536960 is about 763.7676257559.

The spelling of 445536960 in words is "four hundred forty-five million, five hundred thirty-six thousand, nine hundred sixty".