445360320 has 168 divisors, whose sum is σ = 1558411920. Its totient is φ = 116705280.

The previous prime is 445360319. The next prime is 445360343. The reversal of 445360320 is 23063544.

445360320 is a `hidden beast` number, since 4 + 4 + 53 + 603 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168610 + ... + 171230.

Almost surely, 2^445360320 is an apocalyptic number.

445360320 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 445360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779205960).

445360320 is an abundant number, since it is smaller than the sum of its proper divisors (1113051600).

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

445360320 is a wasteful number, since it uses less digits than its factorization.

445360320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 445360320 is about 21103.5617846846. The cubic root of 445360320 is about 763.6666765951. Note that the first 4 decimals are identical.

The spelling of 445360320 in words is "four hundred forty-five million, three hundred sixty thousand, three hundred twenty".