410832 has 50 divisors (see below), whose sum is σ = 1192818. Its totient is φ = 136512.

The previous prime is 410819. The next prime is 410833. The reversal of 410832 is 238014.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 156816 = 504^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1138 + ... + 1454.

2⁴¹⁰⁸³² 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 410832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596409).

410832 is an abundant number, since it is smaller than the sum of its proper divisors (781986).

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

410832 is a wasteful number, since it uses less digits than its factorization.

410832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 410832 is about 640.9617773315. The cubic root of 410832 is about 74.3398056304.

Adding to 410832 its reverse (238014), we get a palindrome (648846).

The spelling of 410832 in words is "four hundred ten thousand, eight hundred thirty-two".