415332 has 36 divisors (see below), whose sum is σ = 1070160. Its totient is φ = 135792.

The previous prime is 415319. The next prime is 415343. The reversal of 415332 is 233514.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

415332 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 11 ways as a sum of consecutive naturals, for example, 2919 + ... + 3057.

2⁴¹⁵³³² 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 415332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535080).

415332 is an abundant number, since it is smaller than the sum of its proper divisors (654828).

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

415332 is a wasteful number, since it uses less digits than its factorization.

415332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

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

The square root of 415332 is about 644.4625667950. The cubic root of 415332 is about 74.6102447195.

Adding to 415332 its reverse (233514), we get a palindrome (648846).

It can be divided in two parts, 415 and 332, that added together give a palindrome (747).

The spelling of 415332 in words is "four hundred fifteen thousand, three hundred thirty-two".