403824 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 131008.

The previous prime is 403817. The next prime is 403829. The reversal of 403824 is 428304.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 403824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403829) by changing a digit.

403824 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, 2167 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁰³⁸²⁴ 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 403824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

403824 is an abundant number, since it is smaller than the sum of its proper divisors (667536).

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

403824 is a wasteful number, since it uses less digits than its factorization.

403824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 403824 is about 635.4714785102. The cubic root of 403824 is about 73.9146813137.

The spelling of 403824 in words is "four hundred three thousand, eight hundred twenty-four".