448704 has 84 divisors (see below), whose sum is σ = 1386840. Its totient is φ = 138240.

The previous prime is 448703. The next prime is 448727. The reversal of 448704 is 407844.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448704.

It is not an unprimeable number, because it can be changed into a prime (448703) 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, 10924 + ... + 10964.

It is an arithmetic number, because the mean of its divisors is an integer number (16510).

2⁴⁴⁸⁷⁰⁴ 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 448704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693420).

448704 is an abundant number, since it is smaller than the sum of its proper divisors (938136).

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

448704 is a wasteful number, since it uses less digits than its factorization.

448704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 448704 is about 669.8537153737. The cubic root of 448704 is about 76.5573067976.

The spelling of 448704 in words is "four hundred forty-eight thousand, seven hundred four".