405132 has 72 divisors (see below), whose sum is σ = 1206576. Its totient is φ = 104832.

The previous prime is 405091. The next prime is 405143. The reversal of 405132 is 231504.

It is an unprimeable number.

405132 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 23 ways as a sum of consecutive naturals, for example, 7618 + ... + 7670.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2⁴⁰⁵¹³² is an apocalyptic number.

405132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 636×637.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288).

405132 is an abundant number, since it is smaller than the sum of its proper divisors (801444).

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

405132 is a wasteful number, since it uses less digits than its factorization.

405132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 405132 is about 636.4998036135. The cubic root of 405132 is about 73.9943993813.

Adding to 405132 its reverse (231504), we get a palindrome (636636).

The spelling of 405132 in words is "four hundred five thousand, one hundred thirty-two".