448308 has 48 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 127872.

The previous prime is 448303. The next prime is 448309. The reversal of 448308 is 803844.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448303) by changing a digit.

448308 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 460 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁴⁴⁸³⁰⁸ 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 448308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

448308 is an abundant number, since it is smaller than the sum of its proper divisors (882252).

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

448308 is a wasteful number, since it uses less digits than its factorization.

448308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 448308 is about 669.5580632029. The cubic root of 448308 is about 76.5347784965.

The spelling of 448308 in words is "four hundred forty-eight thousand, three hundred eight".