385540 has 24 divisors (see below), whose sum is σ = 833112. Its totient is φ = 149760.

The previous prime is 385537. The next prime is 385559. The reversal of 385540 is 45583.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 315844 = 264^2 + 562^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable 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, 480 + ... + 1000.

It is an arithmetic number, because the mean of its divisors is an integer number (34713).

2³⁸⁵⁵⁴⁰ 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 385540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416556).

385540 is an abundant number, since it is smaller than the sum of its proper divisors (447572).

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

385540 is a wasteful number, since it uses less digits than its factorization.

385540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 385540 is about 620.9186742239. The cubic root of 385540 is about 72.7818595867.

The spelling of 385540 in words is "three hundred eighty-five thousand, five hundred forty".