445223476800 has 336 divisors, whose sum is σ = 1634872950720. Its totient is φ = 117858078720.

The previous prime is 445223476793. The next prime is 445223476823. The reversal of 445223476800 is 8674322544.

It is a happy number.

445223476800 is a `hidden beast` number, since 4 + 4 + 522 + 3 + 47 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5880787 + ... + 5956013.

Almost surely, 2^445223476800 is an apocalyptic number.

445223476800 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 445223476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817436475360).

445223476800 is an abundant number, since it is smaller than the sum of its proper divisors (1189649473920).

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

445223476800 is a wasteful number, since it uses less digits than its factorization.

445223476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75395 (or 75374 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 445223476800 in words is "four hundred forty-five billion, two hundred twenty-three million, four hundred seventy-six thousand, eight hundred".