385264 has 30 divisors (see below), whose sum is σ = 824600. Its totient is φ = 174240.

The previous prime is 385261. The next prime is 385267. The reversal of 385264 is 462583.

It is an interprime number because it is at equal distance from previous prime (385261) and next prime (385267).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1837 + ... + 2035.

2³⁸⁵²⁶⁴ 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 385264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412300).

385264 is an abundant number, since it is smaller than the sum of its proper divisors (439336).

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

385264 is a wasteful number, since it uses less digits than its factorization.

385264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 385264 is about 620.6963831053. The cubic root of 385264 is about 72.7644877717.

It can be divided in two parts, 3852 and 64, that added together give a triangular number (3916 = T₈₈).

The spelling of 385264 in words is "three hundred eighty-five thousand, two hundred sixty-four".