448002 has 12 divisors (see below), whose sum is σ = 970710. Its totient is φ = 149328.

The previous prime is 447991. The next prime is 448003. The reversal of 448002 is 200844.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 447561 + 441 = 669^2 + 21^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 24889 = 448002 / (4 + 4 + 8 + 0 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (448003) by changing a digit.

448002 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 5 ways as a sum of consecutive naturals, for example, 12427 + ... + 12462.

2⁴⁴⁸⁰⁰² is an apocalyptic number.

448002 is an abundant number, since it is smaller than the sum of its proper divisors (522708).

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

448002 is a wasteful number, since it uses less digits than its factorization.

448002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24897 (or 24894 counting only the distinct ones).

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

The square root of 448002 is about 669.3295152614. The cubic root of 448002 is about 76.5173611757.

Adding to 448002 its reverse (200844), we get a palindrome (648846).

The spelling of 448002 in words is "four hundred forty-eight thousand, two".