385288 has 16 divisors (see below), whose sum is σ = 765180. Its totient is φ = 181248.

The previous prime is 385279. The next prime is 385289. The reversal of 385288 is 882583.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 3364 = 618^2 + 58^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385289) by changing a digit.

385288 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 in 3 ways as a sum of consecutive naturals, for example, 1281 + ... + 1552.

2³⁸⁵²⁸⁸ is an apocalyptic number.

It is an amenable number.

385288 is a deficient number, since it is larger than the sum of its proper divisors (379892).

385288 is a wasteful number, since it uses less digits than its factorization.

385288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 385288 is about 620.7157159280. The cubic root of 385288 is about 72.7659986936.

The spelling of 385288 in words is "three hundred eighty-five thousand, two hundred eighty-eight".