415305132 has 48 divisors (see below), whose sum is σ = 1067641344. Its totient is φ = 124600000.

The previous prime is 415305127. The next prime is 415305161. The reversal of 415305132 is 231503514.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2244 + ... + 28907.

It is an arithmetic number, because the mean of its divisors is an integer number (22242528).

Almost surely, 2^415305132 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 415305132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533820672).

415305132 is an abundant number, since it is smaller than the sum of its proper divisors (652336212).

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

415305132 is a wasteful number, since it uses less digits than its factorization.

415305132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31270 (or 31268 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 415305132 is about 20379.0365817425. The cubic root of 415305132 is about 746.0863582891.

Adding to 415305132 its reverse (231503514), we get a palindrome (646808646).

The spelling of 415305132 in words is "four hundred fifteen million, three hundred five thousand, one hundred thirty-two".