385792 has 36 divisors (see below), whose sum is σ = 846216. Its totient is φ = 174080.

The previous prime is 385783. The next prime is 385793. The reversal of 385792 is 297583.

385792 is nontrivially palindromic in base 15.

It is not an unprimeable number, because it can be changed into a prime (385793) by changing a digit.

385792 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, 2748 + ... + 2884.

It is an arithmetic number, because the mean of its divisors is an integer number (23506).

2³⁸⁵⁷⁹² is an apocalyptic number.

385792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423108).

385792 is an abundant number, since it is smaller than the sum of its proper divisors (460424).

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

385792 is a wasteful number, since it uses less digits than its factorization.

385792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 385792 is about 621.1215662010. The cubic root of 385792 is about 72.7977135699.

Subtracting from 385792 its reverse (297583), we obtain a square (88209 = 297²).

The spelling of 385792 in words is "three hundred eighty-five thousand, seven hundred ninety-two".