410432 has 42 divisors (see below), whose sum is σ = 912114. Its totient is φ = 183040.

The previous prime is 410413. The next prime is 410453. The reversal of 410432 is 234014.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 30976 = 616^2 + 176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7718 + ... + 7770.

It is an arithmetic number, because the mean of its divisors is an integer number (21717).

2⁴¹⁰⁴³² 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 410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456057).

410432 is an abundant number, since it is smaller than the sum of its proper divisors (501682).

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

410432 is a wasteful number, since it uses less digits than its factorization.

410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 410432 is about 640.6496702567. The cubic root of 410432 is about 74.3156712088.

Adding to 410432 its reverse (234014), we get a palindrome (644446).

It can be divided in two parts, 4104 and 32, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 410432 in words is "four hundred ten thousand, four hundred thirty-two".