445424928000 has 576 divisors, whose sum is σ = 1619681167104. Its totient is φ = 107827200000.

The previous prime is 445424927989. The next prime is 445424928007. The reversal of 445424928000 is 829424544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445424928007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76125075 + ... + 76130925.

Almost surely, 2^445424928000 is an apocalyptic number.

445424928000 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 445424928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809840583552).

445424928000 is an abundant number, since it is smaller than the sum of its proper divisors (1174256239104).

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

445424928000 is a wasteful number, since it uses less digits than its factorization.

445424928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 445424928000 in words is "four hundred forty-five billion, four hundred twenty-four million, nine hundred twenty-eight thousand".