448167 has 16 divisors (see below), whose sum is σ = 634880. Its totient is φ = 280800.

The previous prime is 448159. The next prime is 448169. The reversal of 448167 is 761844.

It is not a de Polignac number, because 448167 - 2³ = 448159 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448167.

It is not an unprimeable number, because it can be changed into a prime (448169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5634 + ... + 5712.

It is an arithmetic number, because the mean of its divisors is an integer number (39680).

2⁴⁴⁸¹⁶⁷ is an apocalyptic number.

448167 is a deficient number, since it is larger than the sum of its proper divisors (186713).

448167 is a wasteful number, since it uses less digits than its factorization.

448167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its digits is 5376, while the sum is 30.

The square root of 448167 is about 669.4527615896. The cubic root of 448167 is about 76.5267538532.

The spelling of 448167 in words is "four hundred forty-eight thousand, one hundred sixty-seven".