415032 has 16 divisors (see below), whose sum is σ = 1037640. Its totient is φ = 138336.

The previous prime is 415031. The next prime is 415039. The reversal of 415032 is 230514.

It is a super-2 number, since 2×415032² = 344503122048, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8623 + ... + 8670.

2⁴¹⁵⁰³² is an apocalyptic number.

It is an amenable number.

415032 is an abundant number, since it is smaller than the sum of its proper divisors (622608).

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

415032 is a wasteful number, since it uses less digits than its factorization.

415032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302 (or 17298 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 415032 is about 644.2297726743. The cubic root of 415032 is about 74.5922763916.

Adding to 415032 its reverse (230514), we get a palindrome (645546).

The spelling of 415032 in words is "four hundred fifteen thousand, thirty-two".