385032 has 32 divisors (see below), whose sum is σ = 982080. Its totient is φ = 125760.

The previous prime is 385027. The next prime is 385039. The reversal of 385032 is 230583.

385032 = T₂₈₈ + T₂₈₉ + ... + T₂₉₆.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 385032.

It is not an unprimeable number, because it can be changed into a prime (385039) by changing a digit.

385032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (30690).

2³⁸⁵⁰³² 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 385032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

385032 is an abundant number, since it is smaller than the sum of its proper divisors (597048).

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

385032 is a wasteful number, since it uses less digits than its factorization.

385032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 385032 is about 620.5094680986. The cubic root of 385032 is about 72.7498789573.

Subtracting from 385032 its reverse (230583), we obtain a square (154449 = 393²).

The spelling of 385032 in words is "three hundred eighty-five thousand, thirty-two".