445224560 has 80 divisors (see below), whose sum is σ = 1195718112. Its totient is φ = 152371200.

The previous prime is 445224551. The next prime is 445224569. The reversal of 445224560 is 65422544.

It is an interprime number because it is at equal distance from previous prime (445224551) and next prime (445224569).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445224569) 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 15 ways as a sum of consecutive naturals, for example, 80 + ... + 29840.

Almost surely, 2^445224560 is an apocalyptic number.

445224560 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 445224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597859056).

445224560 is an abundant number, since it is smaller than the sum of its proper divisors (750493552).

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

445224560 is a wasteful number, since it uses less digits than its factorization.

445224560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29802 (or 29796 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The square root of 445224560 is about 21100.3450208758. The cubic root of 445224560 is about 763.5890720730.

The spelling of 445224560 in words is "four hundred forty-five million, two hundred twenty-four thousand, five hundred sixty".