412412 has 48 divisors (see below), whose sum is σ = 978432. Its totient is φ = 146880.

The previous prime is 412411. The next prime is 412457. The reversal of 412412 is 214214.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3953 + ... + 4055.

It is an arithmetic number, because the mean of its divisors is an integer number (20384).

2⁴¹²⁴¹² 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 412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489216).

412412 is an abundant number, since it is smaller than the sum of its proper divisors (566020).

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

412412 is a wasteful number, since it uses less digits than its factorization.

412412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its digits is 64, while the sum is 14.

The square root of 412412 is about 642.1931173720. The cubic root of 412412 is about 74.4349837404.

Adding to 412412 its reverse (214214), we get a palindrome (626626).

The spelling of 412412 in words is "four hundred twelve thousand, four hundred twelve", and thus it is an iban number.