411432 has 64 divisors (see below), whose sum is σ = 1228800. Its totient is φ = 112320.

The previous prime is 411421. The next prime is 411443. The reversal of 411432 is 234114.

It is an interprime number because it is at equal distance from previous prime (411421) and next prime (411443).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

411432 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 15 ways as a sum of consecutive naturals, for example, 5169 + ... + 5247.

It is an arithmetic number, because the mean of its divisors is an integer number (19200).

2⁴¹¹⁴³² is an apocalyptic number.

411432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614400).

411432 is an abundant number, since it is smaller than the sum of its proper divisors (817368).

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

411432 is a wasteful number, since it uses less digits than its factorization.

411432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 122 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 411432 is about 641.4296531967. The cubic root of 411432 is about 74.3759779077.

Adding to 411432 its reverse (234114), we get a palindrome (645546).

The spelling of 411432 in words is "four hundred eleven thousand, four hundred thirty-two".