412032 has 64 divisors (see below), whose sum is σ = 1162800. Its totient is φ = 129024.

The previous prime is 412031. The next prime is 412033. The reversal of 412032 is 230214.

It is an interprime number because it is at equal distance from previous prime (412031) and next prime (412033).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 411999 and 412017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11118 + ... + 11154.

2⁴¹²⁰³² 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 412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581400).

412032 is an abundant number, since it is smaller than the sum of its proper divisors (750768).

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

412032 is a wasteful number, since it uses less digits than its factorization.

412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 412032 is about 641.8971880294. The cubic root of 412032 is about 74.4121150349.

Adding to 412032 its reverse (230214), we get a palindrome (642246).

The spelling of 412032 in words is "four hundred twelve thousand, thirty-two".