405324 has 42 divisors (see below), whose sum is σ = 1071140. Its totient is φ = 134136.

The previous prime is 405323. The next prime is 405341. The reversal of 405324 is 423504.

Added to its reverse (423504) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 405297 and 405306.

It is not an unprimeable number, because it can be changed into a prime (405323) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2847 + ... + 2985.

2⁴⁰⁵³²⁴ 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 405324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535570).

405324 is an abundant number, since it is smaller than the sum of its proper divisors (665816).

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

405324 is a wasteful number, since it uses less digits than its factorization.

405324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 405324 is about 636.6506106178. The cubic root of 405324 is about 74.0060866676.

Adding to 405324 its reverse (423504), we get a palindrome (828828).

It can be divided in two parts, 405 and 324, that added together give a 6-th power (729 = 3⁶).

The spelling of 405324 in words is "four hundred five thousand, three hundred twenty-four".