385352 has 32 divisors (see below), whose sum is σ = 820800. Its totient is φ = 168000.

The previous prime is 385351. The next prime is 385379. The reversal of 385352 is 253583.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2477 + ... + 2627.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2³⁸⁵³⁵² 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 385352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

385352 is an abundant number, since it is smaller than the sum of its proper divisors (435448).

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

385352 is a wasteful number, since it uses less digits than its factorization.

385352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 385352 is about 620.7672671783. The cubic root of 385352 is about 72.7700275120.

Subtracting from 385352 its reverse (253583), we obtain a square (131769 = 363²).

It can be divided in two parts, 385 and 352, that added together give a palindrome (737).

The spelling of 385352 in words is "three hundred eighty-five thousand, three hundred fifty-two".