445506320 has 80 divisors (see below), whose sum is σ = 1235278080. Its totient is φ = 146099712.

The previous prime is 445506317. The next prime is 445506349. The reversal of 445506320 is 23605544.

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

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, 4415 + ... + 30174.

It is an arithmetic number, because the mean of its divisors is an integer number (15440976).

Almost surely, 2^445506320 is an apocalyptic number.

445506320 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 445506320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617639040).

445506320 is an abundant number, since it is smaller than the sum of its proper divisors (789771760).

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

445506320 is a wasteful number, since it uses less digits than its factorization.

445506320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34632 (or 34626 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 445506320 is about 21107.0206329553. The cubic root of 445506320 is about 763.7501170128.

The spelling of 445506320 in words is "four hundred forty-five million, five hundred six thousand, three hundred twenty".