448448 has 84 divisors (see below), whose sum is σ = 1216152. Its totient is φ = 161280.

The previous prime is 448421. The next prime is 448451. The reversal of 448448 is 844844.

It is a happy number.

It is a super-2 number, since 2×448448² = 402211217408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34490 + ... + 34502.

It is an arithmetic number, because the mean of its divisors is an integer number (14478).

2⁴⁴⁸⁴⁴⁸ 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 448448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608076).

448448 is an abundant number, since it is smaller than the sum of its proper divisors (767704).

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

448448 is a wasteful number, since it uses less digits than its factorization.

448448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 448448 is about 669.6626016137. The cubic root of 448448 is about 76.5427445628.

The spelling of 448448 in words is "four hundred forty-eight thousand, four hundred forty-eight".