445612320 has 384 divisors, whose sum is σ = 1687392000. Its totient is φ = 109486080.

The previous prime is 445612319. The next prime is 445612331. The reversal of 445612320 is 23216544.

445612320 is a `hidden beast` number, since 4 + 45 + 612 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5006836 + ... + 5006924.

It is an arithmetic number, because the mean of its divisors is an integer number (4394250).

Almost surely, 2^445612320 is an apocalyptic number.

445612320 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 445612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843696000).

445612320 is an abundant number, since it is smaller than the sum of its proper divisors (1241779680).

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

445612320 is a wasteful number, since it uses less digits than its factorization.

445612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 445612320 is about 21109.5314964591. The cubic root of 445612320 is about 763.8106856204.

Adding to 445612320 its reverse (23216544), we get a palindrome (468828864).

The spelling of 445612320 in words is "four hundred forty-five million, six hundred twelve thousand, three hundred twenty".