415932 has 48 divisors (see below), whose sum is σ = 1112832. Its totient is φ = 119680.

The previous prime is 415931. The next prime is 415937. The reversal of 415932 is 239514.

415932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2968 + ... + 3104.

It is an arithmetic number, because the mean of its divisors is an integer number (23184).

2⁴¹⁵⁹³² 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 415932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556416).

415932 is an abundant number, since it is smaller than the sum of its proper divisors (696900).

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

415932 is a wasteful number, since it uses less digits than its factorization.

415932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 415932 is about 644.9279029473. The cubic root of 415932 is about 74.6461554346.

The spelling of 415932 in words is "four hundred fifteen thousand, nine hundred thirty-two".