445393848800 has 288 divisors, whose sum is σ = 1126300412160. Its totient is φ = 171918028800.

The previous prime is 445393848799. The next prime is 445393848817. The reversal of 445393848800 is 8848393544.

It is a super-2 number, since 2×445393848800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675862871 + ... + 675863529.

It is an arithmetic number, because the mean of its divisors is an integer number (3910765320).

Almost surely, 2^445393848800 is an apocalyptic number.

445393848800 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 445393848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563150206080).

445393848800 is an abundant number, since it is smaller than the sum of its proper divisors (680906563360).

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

445393848800 is a wasteful number, since it uses less digits than its factorization.

445393848800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 445393848800 in words is "four hundred forty-five billion, three hundred ninety-three million, eight hundred forty-eight thousand, eight hundred".