445733200480 has 96 divisors (see below), whose sum is σ = 1061865455616. Its totient is φ = 176801232384.

The previous prime is 445733200477. The next prime is 445733200519. The reversal of 445733200480 is 84002337544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53782897 + ... + 53791183.

It is an arithmetic number, because the mean of its divisors is an integer number (11061098496).

Almost surely, 2^445733200480 is an apocalyptic number.

445733200480 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 445733200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530932727808).

445733200480 is an abundant number, since it is smaller than the sum of its proper divisors (616132255136).

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

445733200480 is a wasteful number, since it uses less digits than its factorization.

445733200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11076 (or 11068 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 445733200480 in words is "four hundred forty-five billion, seven hundred thirty-three million, two hundred thousand, four hundred eighty".