448320 has 56 divisors (see below), whose sum is σ = 1426464. Its totient is φ = 119296.

The previous prime is 448313. The next prime is 448321. The reversal of 448320 is 23844.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448320.

It is not an unprimeable number, because it can be changed into a prime (448321) by changing a digit.

448320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727 + ... + 1193.

2⁴⁴⁸³²⁰ is an apocalyptic number.

448320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713232).

448320 is an abundant number, since it is smaller than the sum of its proper divisors (978144).

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

448320 is a wasteful number, since it uses less digits than its factorization.

448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 448320 is about 669.5670242776. The cubic root of 448320 is about 76.5354613671.

The spelling of 448320 in words is "four hundred forty-eight thousand, three hundred twenty".