445665884800 has 384 divisors, whose sum is σ = 1213737494400. Its totient is φ = 160944537600.

The previous prime is 445665884791. The next prime is 445665884801. The reversal of 445665884800 is 8488566544.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (445665884801) 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, 588726022 + ... + 588726778.

It is an arithmetic number, because the mean of its divisors is an integer number (3160774725).

Almost surely, 2^445665884800 is an apocalyptic number.

445665884800 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 445665884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606868747200).

445665884800 is an abundant number, since it is smaller than the sum of its proper divisors (768071609600).

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

445665884800 is a wasteful number, since it uses less digits than its factorization.

445665884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 58.

The spelling of 445665884800 in words is "four hundred forty-five billion, six hundred sixty-five million, eight hundred eighty-four thousand, eight hundred".