448001 has 12 divisors (see below), whose sum is σ = 507492. Its totient is φ = 393984.

The previous prime is 447991. The next prime is 448003. The reversal of 448001 is 100844.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 303601 + 144400 = 551^2 + 380^2 .

It is not a de Polignac number, because 448001 - 2¹⁴ = 431617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6101 + ... + 6173.

It is an arithmetic number, because the mean of its divisors is an integer number (42291).

2⁴⁴⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

448001 is a deficient number, since it is larger than the sum of its proper divisors (59491).

448001 is a wasteful number, since it uses less digits than its factorization.

448001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 448001 is about 669.3287682447. The cubic root of 448001 is about 76.5173042433.

Adding to 448001 its reverse (100844), we get a palindrome (548845).

The spelling of 448001 in words is "four hundred forty-eight thousand, one".