448590 has 32 divisors (see below), whose sum is σ = 1134720. Its totient is φ = 113184.

The previous prime is 448561. The next prime is 448597. The reversal of 448590 is 95844.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 448590.

It is not an unprimeable number, because it can be changed into a prime (448597) by changing a digit.

448590 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (35460).

2⁴⁴⁸⁵⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567360).

448590 is an abundant number, since it is smaller than the sum of its proper divisors (686130).

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

448590 is a wasteful number, since it uses less digits than its factorization.

448590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 448590 is about 669.7686167625. The cubic root of 448590 is about 76.5508227366.

The spelling of 448590 in words is "four hundred forty-eight thousand, five hundred ninety".