445240320 has 352 divisors, whose sum is σ = 1683714816. Its totient is φ = 98304000.

The previous prime is 445240307. The next prime is 445240331. The reversal of 445240320 is 23042544.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4408270 + ... + 4408370.

Almost surely, 2^445240320 is an apocalyptic number.

445240320 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 445240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841857408).

445240320 is an abundant number, since it is smaller than the sum of its proper divisors (1238474496).

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

445240320 is a wasteful number, since it uses less digits than its factorization.

445240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 445240320 is about 21100.7184711801. The cubic root of 445240320 is about 763.5980817750.

Adding to 445240320 its reverse (23042544), we get a palindrome (468282864).

The spelling of 445240320 in words is "four hundred forty-five million, two hundred forty thousand, three hundred twenty".