360448 has 32 divisors (see below), whose sum is σ = 786420. Its totient is φ = 163840.

The previous prime is 360439. The next prime is 360457. The reversal of 360448 is 844063.

It is an interprime number because it is at equal distance from previous prime (360439) and next prime (360457).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

360448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32763 + ... + 32773.

360448 is a Friedman number, since it can be written as (30-8)*4^6*4, using all its digits and the basic arithmetic operations.

2³⁶⁰⁴⁴⁸ 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 360448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393210).

360448 is an abundant number, since it is smaller than the sum of its proper divisors (425972).

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

360448 is an frugal number, since it uses more digits than its factorization.

360448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 13 counting only the distinct ones).

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

The square root of 360448 is about 600.3732172574. The cubic root of 360448 is about 71.1673628982.

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

The spelling of 360448 in words is "three hundred sixty thousand, four hundred forty-eight".