448801 has 2 divisors, whose sum is σ = 448802. Its totient is φ = 448800.

The previous prime is 448793. The next prime is 448807. The reversal of 448801 is 108844.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358801 + 90000 = 599^2 + 300^2 .

It is a cyclic number.

It is not a de Polignac number, because 448801 - 2³ = 448793 is a prime.

It is equal to p₃₇₆₀₉ and since 448801 and 37609 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (448807) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 224400 + 224401.

It is an arithmetic number, because the mean of its divisors is an integer number (224401).

2⁴⁴⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

448801 is a deficient number, since it is larger than the sum of its proper divisors (1).

448801 is an equidigital number, since it uses as much as digits as its factorization.

448801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 448801 is about 669.9261153291. The cubic root of 448801 is about 76.5628230724.

The spelling of 448801 in words is "four hundred forty-eight thousand, eight hundred one".