445584960 has 336 divisors, whose sum is σ = 1711756800. Its totient is φ = 105725952.

The previous prime is 445584959. The next prime is 445584967. The reversal of 445584960 is 69485544.

445584960 is a `hidden beast` number, since 4 + 4 + 5 + 584 + 9 + 60 = 666.

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 (445584967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930001 + ... + 930479.

Almost surely, 2^445584960 is an apocalyptic number.

445584960 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 445584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855878400).

445584960 is an abundant number, since it is smaller than the sum of its proper divisors (1266171840).

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

445584960 is a wasteful number, since it uses less digits than its factorization.

445584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 445584960 is about 21108.8834380220. The cubic root of 445584960 is about 763.7950529825.

The spelling of 445584960 in words is "four hundred forty-five million, five hundred eighty-four thousand, nine hundred sixty".