120448 has 16 divisors (see below), whose sum is σ = 240210. Its totient is φ = 60160.

The previous prime is 120431. The next prime is 120473. The reversal of 120448 is 844021.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 23104 = 312^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

120448 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343 + ... + 598.

2¹²⁰⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

120448 is a deficient number, since it is larger than the sum of its proper divisors (119762).

120448 is an frugal number, since it uses more digits than its factorization.

120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 120448 is about 347.0561914157. The cubic root of 120448 is about 49.3855465373.

Adding to 120448 its reverse (844021), we get a palindrome (964469).

It can be divided in two parts, 1 and 20448, that added together give a square (20449 = 143²).

The spelling of 120448 in words is "one hundred twenty thousand, four hundred forty-eight".