405524 has 18 divisors (see below), whose sum is σ = 825930. Its totient is φ = 173712.

The previous prime is 405521. The next prime is 405527. The reversal of 405524 is 425504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405521) and next prime (405527).

It can be written as a sum of positive squares in only one way, i.e., 283024 + 122500 = 532^2 + 350^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405496 and 405505.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405524.

It is not an unprimeable number, because it can be changed into a prime (405521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 839 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (45885).

2⁴⁰⁵⁵²⁴ is an apocalyptic number.

It is an amenable number.

405524 is an abundant number, since it is smaller than the sum of its proper divisors (420406).

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

405524 is a wasteful number, since it uses less digits than its factorization.

405524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 405524 is about 636.8076632705. The cubic root of 405524 is about 74.0182570001.

Subtracting from 405524 its sum of digits (20), we obtain a palindrome (405504).

It can be divided in two parts, 405 and 524, that added together give a palindrome (929).

The spelling of 405524 in words is "four hundred five thousand, five hundred twenty-four".