448360 has 32 divisors (see below), whose sum is σ = 1101600. Its totient is φ = 162880.

The previous prime is 448351. The next prime is 448363. The reversal of 448360 is 63844.

448360 = T₂₈₀ + T₂₈₁ + ... + T₂₉₀.

448360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (448363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

2⁴⁴⁸³⁶⁰ is an apocalyptic number.

448360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800).

448360 is an abundant number, since it is smaller than the sum of its proper divisors (653240).

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

448360 is a wasteful number, since it uses less digits than its factorization.

448360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 448360 is about 669.5968936607. The cubic root of 448360 is about 76.5377375147.

It can be divided in two parts, 448 and 360, that added together give a palindrome (808).

The spelling of 448360 in words is "four hundred forty-eight thousand, three hundred sixty".