447948 has 36 divisors (see below), whose sum is σ = 1183728. Its totient is φ = 142560.

The previous prime is 447943. The next prime is 447961. The reversal of 447948 is 849744.

447948 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 447948.

It is not an unprimeable number, because it can be changed into a prime (447943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558 + ... + 1098.

2⁴⁴⁷⁹⁴⁸ 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 447948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591864).

447948 is an abundant number, since it is smaller than the sum of its proper divisors (735780).

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

447948 is a wasteful number, since it uses less digits than its factorization.

447948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 569 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 447948 is about 669.2891751702. The cubic root of 447948 is about 76.5142867076.

The spelling of 447948 in words is "four hundred forty-seven thousand, nine hundred forty-eight".