385392 has 80 divisors (see below), whose sum is σ = 1206272. Its totient is φ = 103680.

The previous prime is 385391. The next prime is 385393. The reversal of 385392 is 293583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (385391) and next prime (385393).

Its product of digits (6480) is a multiple of the sum of its prime divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10398 + ... + 10434.

2³⁸⁵³⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603136).

385392 is an abundant number, since it is smaller than the sum of its proper divisors (820880).

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

385392 is a wasteful number, since it uses less digits than its factorization.

385392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 385392 is about 620.7994845359. The cubic root of 385392 is about 72.7725452969.

Subtracting from 385392 its reverse (293583), we obtain a square (91809 = 303²).

It can be divided in two parts, 385 and 392, that added together give a palindrome (777).

The spelling of 385392 in words is "three hundred eighty-five thousand, three hundred ninety-two".