447668046400 has 189 divisors, whose sum is σ = 1130662789851. Its totient is φ = 174453242880.

The previous prime is 447668046367. The next prime is 447668046407. The reversal of 447668046400 is 4640866744.

The square root of 447668046400 is 669080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 74415475264 + 373252571136 = 272792^2 + 610944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (447668046407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1150817406 + ... + 1150817794.

Almost surely, 2^447668046400 is an apocalyptic number.

447668046400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

447668046400 is the 669080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447668046400

447668046400 is an abundant number, since it is smaller than the sum of its proper divisors (682994743451).

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

447668046400 is an frugal number, since it uses more digits than its factorization.

447668046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 49.

Multiplying 447668046400 by its sum of digits (49), we get a square (21935734273600 = 4683560²).

The spelling of 447668046400 in words is "four hundred forty-seven billion, six hundred sixty-eight million, forty-six thousand, four hundred".