445382784 has 192 divisors, whose sum is σ = 1598201280. Its totient is φ = 115660800.

The previous prime is 445382771. The next prime is 445382807. The reversal of 445382784 is 487283544.

It is a happy number.

445382784 is a `hidden beast` number, since 44 + 538 + 2 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86194 + ... + 91214.

It is an arithmetic number, because the mean of its divisors is an integer number (8323965).

Almost surely, 2^445382784 is an apocalyptic number.

445382784 is a gapful number since it is divisible by the number (44) 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 445382784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799100640).

445382784 is an abundant number, since it is smaller than the sum of its proper divisors (1152818496).

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

445382784 is a wasteful number, since it uses less digits than its factorization.

445382784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5044 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 445382784 is about 21104.0940104047. The cubic root of 445382784 is about 763.6795161762.

The spelling of 445382784 in words is "four hundred forty-five million, three hundred eighty-two thousand, seven hundred eighty-four".