447648 has 24 divisors (see below), whose sum is σ = 1175328. Its totient is φ = 149184.

The previous prime is 447641. The next prime is 447677. The reversal of 447648 is 846744.

447648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 447648.

It is not an unprimeable number, because it can be changed into a prime (447641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2236 + ... + 2427.

It is an arithmetic number, because the mean of its divisors is an integer number (48972).

2⁴⁴⁷⁶⁴⁸ is an apocalyptic number.

447648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

447648 is an abundant number, since it is smaller than the sum of its proper divisors (727680).

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

447648 is a wasteful number, since it uses less digits than its factorization.

447648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4668 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 447648 is about 669.0650192620. The cubic root of 447648 is about 76.4972018285.

The spelling of 447648 in words is "four hundred forty-seven thousand, six hundred forty-eight".