448164 has 36 divisors (see below), whose sum is σ = 1157520. Its totient is φ = 146160.

The previous prime is 448159. The next prime is 448169. The reversal of 448164 is 461844.

It is an interprime number because it is at equal distance from previous prime (448159) and next prime (448169).

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448164.

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 11 ways as a sum of consecutive naturals, for example, 2019 + ... + 2229.

2⁴⁴⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578760).

448164 is an abundant number, since it is smaller than the sum of its proper divisors (709356).

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

448164 is a wasteful number, since it uses less digits than its factorization.

448164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 448164 is about 669.4505209498. The cubic root of 448164 is about 76.5265830978.

The spelling of 448164 in words is "four hundred forty-eight thousand, one hundred sixty-four".