447207828400 has 120 divisors (see below), whose sum is σ = 1113376083120. Its totient is φ = 172417889280.

The previous prime is 447207828323. The next prime is 447207828437. The reversal of 447207828400 is 4828702744.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6776362 + ... + 6842038.

It is an arithmetic number, because the mean of its divisors is an integer number (9278134026).

Almost surely, 2^447207828400 is an apocalyptic number.

447207828400 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 447207828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556688041560).

447207828400 is an abundant number, since it is smaller than the sum of its proper divisors (666168254720).

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

447207828400 is a wasteful number, since it uses less digits than its factorization.

447207828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66311 (or 66300 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 46.

The spelling of 447207828400 in words is "four hundred forty-seven billion, two hundred seven million, eight hundred twenty-eight thousand, four hundred".