385296 has 40 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 122496.

The previous prime is 385291. The next prime is 385321. The reversal of 385296 is 692583.

It is a happy number.

385296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385291) by changing a digit.

385296 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 7 ways as a sum of consecutive naturals, for example, 930 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2³⁸⁵²⁹⁶ 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 385296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

385296 is an abundant number, since it is smaller than the sum of its proper divisors (656304).

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

385296 is a wasteful number, since it uses less digits than its factorization.

385296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 385296 is about 620.7221600684. The cubic root of 385296 is about 72.7665023203.

The spelling of 385296 in words is "three hundred eighty-five thousand, two hundred ninety-six".