448440 has 64 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 115200.

The previous prime is 448421. The next prime is 448451. The reversal of 448440 is 44844.

448440 = T₇₁ + T₇₂ + ... + T₁₄₄.

448440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 448440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4390 + ... + 4490.

2⁴⁴⁸⁴⁴⁰ is an apocalyptic number.

448440 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 448440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680).

448440 is an abundant number, since it is smaller than the sum of its proper divisors (946920).

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

448440 is a wasteful number, since it uses less digits than its factorization.

448440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 448440 is about 669.6566284298. The cubic root of 448440 is about 76.5422894037.

It can be divided in two parts, 448 and 440, that added together give a palindrome (888).

The spelling of 448440 in words is "four hundred forty-eight thousand, four hundred forty".