447069864400 has 60 divisors (see below), whose sum is σ = 1074159191500. Its totient is φ = 178815651840.

The previous prime is 447069864361. The next prime is 447069864403. The reversal of 447069864400 is 4468960744.

It can be written as a sum of positive squares in 6 ways, for example, as 76169376144 + 370900488256 = 275988^2 + 609016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447069864403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7766926 + ... + 7824274.

Almost surely, 2^447069864400 is an apocalyptic number.

447069864400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447069864400 is an abundant number, since it is smaller than the sum of its proper divisors (627089327100).

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

447069864400 is a wasteful number, since it uses less digits than its factorization.

447069864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76856 (or 76845 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 447069864400 in words is "four hundred forty-seven billion, sixty-nine million, eight hundred sixty-four thousand, four hundred".