380448 has 36 divisors (see below), whose sum is σ = 1082718. Its totient is φ = 126720.

The previous prime is 380447. The next prime is 380453. The reversal of 380448 is 844083.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 138384 = 492^2 + 372^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (380441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 373 + ... + 948.

2³⁸⁰⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

380448 is an abundant number, since it is smaller than the sum of its proper divisors (702270).

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

380448 is a wasteful number, since it uses less digits than its factorization.

380448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1326 counting only the distinct ones).

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

The square root of 380448 is about 616.8046692430. The cubic root of 380448 is about 72.4600175898.

It can be divided in two parts, 380 and 448, that added together give a palindrome (828).

The spelling of 380448 in words is "three hundred eighty thousand, four hundred forty-eight".