384524 has 24 divisors (see below), whose sum is σ = 795648. Its totient is φ = 159120.

The previous prime is 384509. The next prime is 384533. The reversal of 384524 is 425483.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 384493 and 384502.

It is an unprimeable number.

384524 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 7 ways as a sum of consecutive naturals, for example, 647 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (33152).

2³⁸⁴⁵²⁴ 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 384524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397824).

384524 is an abundant number, since it is smaller than the sum of its proper divisors (411124).

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

384524 is a wasteful number, since it uses less digits than its factorization.

384524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 384524 is about 620.0999919368. The cubic root of 384524 is about 72.7178701860.

The spelling of 384524 in words is "three hundred eighty-four thousand, five hundred twenty-four".