448840 has 48 divisors (see below), whose sum is σ = 1179900. Its totient is φ = 153216.

The previous prime is 448829. The next prime is 448843. The reversal of 448840 is 48844.

It is a happy number.

448840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 432964 + 15876 = 658^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 448799 and 448808.

It is not an unprimeable number, because it can be changed into a prime (448843) by changing a digit.

448840 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 11 ways as a sum of consecutive naturals, for example, 1846 + ... + 2074.

2⁴⁴⁸⁸⁴⁰ is an apocalyptic number.

448840 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 448840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589950).

448840 is an abundant number, since it is smaller than the sum of its proper divisors (731060).

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

448840 is a wasteful number, since it uses less digits than its factorization.

448840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 448840 is about 669.9552223843. The cubic root of 448840 is about 76.5650407320.

The spelling of 448840 in words is "four hundred forty-eight thousand, eight hundred forty".