384540 has 96 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 86016.

The previous prime is 384533. The next prime is 384547. The reversal of 384540 is 45483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384533) and next prime (384547).

It is a self number, because there is not a number n which added to its sum of digits gives 384540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13246 + ... + 13274.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2³⁸⁴⁵⁴⁰ is an apocalyptic number.

384540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

384540 is an abundant number, since it is smaller than the sum of its proper divisors (885540).

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

384540 is a wasteful number, since it uses less digits than its factorization.

384540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 384540 is about 620.1128929477. The cubic root of 384540 is about 72.7188787661.

The spelling of 384540 in words is "three hundred eighty-four thousand, five hundred forty".