447664 has 30 divisors (see below), whose sum is σ = 1010724. Its totient is φ = 191520.

The previous prime is 447641. The next prime is 447677. The reversal of 447664 is 466744.

447664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499 + ... + 1069.

2⁴⁴⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505362).

447664 is an abundant number, since it is smaller than the sum of its proper divisors (563060).

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

447664 is a wasteful number, since it uses less digits than its factorization.

447664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 447664 is about 669.0769761395. The cubic root of 447664 is about 76.4981132147.

It can be divided in two parts, 447 and 664, that added together give a palindrome (1111).

The spelling of 447664 in words is "four hundred forty-seven thousand, six hundred sixty-four".