405232 has 40 divisors (see below), whose sum is σ = 872960. Its totient is φ = 181440.

The previous prime is 405227. The next prime is 405239. The reversal of 405232 is 232504.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9403 + ... + 9445.

It is an arithmetic number, because the mean of its divisors is an integer number (21824).

2⁴⁰⁵²³² 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 405232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436480).

405232 is an abundant number, since it is smaller than the sum of its proper divisors (467728).

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

405232 is a wasteful number, since it uses less digits than its factorization.

405232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 405232 is about 636.5783533863. The cubic root of 405232 is about 74.0004869703. Note that the first 3 decimals are identical.

Adding to 405232 its reverse (232504), we get a palindrome (637736).

The spelling of 405232 in words is "four hundred five thousand, two hundred thirty-two".