413532 has 48 divisors (see below), whose sum is σ = 1227520. Its totient is φ = 117936.

The previous prime is 413527. The next prime is 413533. The reversal of 413532 is 235314.

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 (413533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483 + ... + 1029.

2⁴¹³⁵³² is an apocalyptic number.

413532 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 413532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613760).

413532 is an abundant number, since it is smaller than the sum of its proper divisors (813988).

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

413532 is a wasteful number, since it uses less digits than its factorization.

413532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 559 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 413532 is about 643.0645379742. The cubic root of 413532 is about 74.5023046297.

Adding to 413532 its reverse (235314), we get a palindrome (648846).

The spelling of 413532 in words is "four hundred thirteen thousand, five hundred thirty-two".