380385 has 24 divisors (see below), whose sum is σ = 673920. Its totient is φ = 198432.

The previous prime is 380383. The next prime is 380417. The reversal of 380385 is 583083.

It is not a de Polignac number, because 380385 - 2¹ = 380383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (380383) 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 23 ways as a sum of consecutive naturals, for example, 3502 + ... + 3608.

It is an arithmetic number, because the mean of its divisors is an integer number (28080).

2³⁸⁰³⁸⁵ is an apocalyptic number.

It is an amenable number.

380385 is a deficient number, since it is larger than the sum of its proper divisors (293535).

380385 is a wasteful number, since it uses less digits than its factorization.

380385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 380385 is about 616.7535974763. The cubic root of 380385 is about 72.4560177150.

The spelling of 380385 in words is "three hundred eighty thousand, three hundred eighty-five".