445144320 has 216 divisors, whose sum is σ = 1631467656. Its totient is φ = 111673344.

The previous prime is 445144319. The next prime is 445144327. The reversal of 445144320 is 23441544.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 181926144 + 263218176 = 13488^2 + 16224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445144327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194704 + ... + 196976.

It is an arithmetic number, because the mean of its divisors is an integer number (7553091).

Almost surely, 2^445144320 is an apocalyptic number.

445144320 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 445144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815733828).

445144320 is an abundant number, since it is smaller than the sum of its proper divisors (1186323336).

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

445144320 is a wasteful number, since it uses less digits than its factorization.

445144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 445144320 is about 21098.4435444892. The cubic root of 445144320 is about 763.5431970444.

Adding to 445144320 its reverse (23441544), we get a palindrome (468585864).

The spelling of 445144320 in words is "four hundred forty-five million, one hundred forty-four thousand, three hundred twenty".