445632560 has 80 divisors (see below), whose sum is σ = 1134972000. Its totient is φ = 161968128.

The previous prime is 445632557. The next prime is 445632581. The reversal of 445632560 is 65236544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 445632560.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33791 + ... + 45089.

It is an arithmetic number, because the mean of its divisors is an integer number (14187150).

Almost surely, 2^445632560 is an apocalyptic number.

445632560 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 445632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567486000).

445632560 is an abundant number, since it is smaller than the sum of its proper divisors (689339440).

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

445632560 is a wasteful number, since it uses less digits than its factorization.

445632560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11358 (or 11352 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 445632560 is about 21110.0108953075. The cubic root of 445632560 is about 763.8222497039.

The spelling of 445632560 in words is "four hundred forty-five million, six hundred thirty-two thousand, five hundred sixty".