445368960 has 192 divisors, whose sum is σ = 1550465280. Its totient is φ = 117798912.

The previous prime is 445368947. The next prime is 445368961. The reversal of 445368960 is 69863544.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (445368961) 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, 961689 + ... + 962151.

It is an arithmetic number, because the mean of its divisors is an integer number (8075340).

Almost surely, 2^445368960 is an apocalyptic number.

445368960 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 445368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775232640).

445368960 is an abundant number, since it is smaller than the sum of its proper divisors (1105096320).

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

445368960 is a wasteful number, since it uses less digits than its factorization.

445368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 445368960 is about 21103.7664884731. The cubic root of 445368960 is about 763.6716149466.

The spelling of 445368960 in words is "four hundred forty-five million, three hundred sixty-eight thousand, nine hundred sixty".