448020 has 72 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 112320.

The previous prime is 448013. The next prime is 448027. The reversal of 448020 is 20844.

It is a happy number.

448020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (448013) and next prime (448027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 447984 and 448002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448027) by changing a digit.

448020 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 23 ways as a sum of consecutive naturals, for example, 3355 + ... + 3485.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2⁴⁴⁸⁰²⁰ 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 448020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720720).

448020 is an abundant number, since it is smaller than the sum of its proper divisors (993420).

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

448020 is a wasteful number, since it uses less digits than its factorization.

448020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 448020 is about 669.3429614181. The cubic root of 448020 is about 76.5183859435.

Adding to 448020 its reverse (20844), we get a palindrome (468864).

The spelling of 448020 in words is "four hundred forty-eight thousand, twenty".