448409 has 8 divisors (see below), whose sum is σ = 511560. Its totient is φ = 389376.

The previous prime is 448397. The next prime is 448421. The reversal of 448409 is 904844.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (448397) and next prime (448421).

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 265225 = 428^2 + 515^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 448409 - 2¹⁶ = 382873 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448409.

It is not an unprimeable number, because it can be changed into a prime (448309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (63945).

2⁴⁴⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

448409 is a deficient number, since it is larger than the sum of its proper divisors (63151).

448409 is a wasteful number, since it uses less digits than its factorization.

448409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059.

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 448409 is about 669.6334818391. The cubic root of 448409 is about 76.5405256109.

The spelling of 448409 in words is "four hundred forty-eight thousand, four hundred nine".