385584 has 40 divisors (see below), whose sum is σ = 1034160. Its totient is φ = 123648.

The previous prime is 385579. The next prime is 385589. The reversal of 385584 is 485583.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (385579) and next prime (385589).

It is not an unprimeable number, because it can be changed into a prime (385589) 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, 1254 + ... + 1530.

It is an arithmetic number, because the mean of its divisors is an integer number (25854).

2³⁸⁵⁵⁸⁴ 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 385584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517080).

385584 is an abundant number, since it is smaller than the sum of its proper divisors (648576).

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

385584 is a wasteful number, since it uses less digits than its factorization.

385584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 385584 is about 620.9541045842. The cubic root of 385584 is about 72.7846282402.

Subtracting 385584 from its reverse (485583), we obtain a palindrome (99999).

It can be divided in two parts, 385 and 584, that added together give a palindrome (969).

The spelling of 385584 in words is "three hundred eighty-five thousand, five hundred eighty-four".