385506 has 48 divisors (see below), whose sum is σ = 957600. Its totient is φ = 114840.

The previous prime is 385501. The next prime is 385519. The reversal of 385506 is 605583.

It is a super-2 number, since 2×385506² = 297229752072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 385506.

It is not an unprimeable number, because it can be changed into a prime (385501) by changing a digit.

385506 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 23 ways as a sum of consecutive naturals, for example, 6505 + ... + 6563.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2³⁸⁵⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

385506 is an abundant number, since it is smaller than the sum of its proper divisors (572094).

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

385506 is a wasteful number, since it uses less digits than its factorization.

385506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 385506 is about 620.8912948335. The cubic root of 385506 is about 72.7797200284.

The spelling of 385506 in words is "three hundred eighty-five thousand, five hundred six".