413832 has 32 divisors (see below), whose sum is σ = 1061280. Its totient is φ = 134400.

The previous prime is 413827. The next prime is 413849. The reversal of 413832 is 238314.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 413799 and 413808.

It is an unprimeable number.

413832 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 7 ways as a sum of consecutive naturals, for example, 832 + ... + 1232.

It is an arithmetic number, because the mean of its divisors is an integer number (33165).

2⁴¹³⁸³² 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 413832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530640).

413832 is an abundant number, since it is smaller than the sum of its proper divisors (647448).

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

413832 is a wasteful number, since it uses less digits than its factorization.

413832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 413832 is about 643.2977537657. The cubic root of 413832 is about 74.5203163666.

The spelling of 413832 in words is "four hundred thirteen thousand, eight hundred thirty-two".