413412 has 24 divisors (see below), whose sum is σ = 986496. Its totient is φ = 134688.

The previous prime is 413411. The next prime is 413417. The reversal of 413412 is 214314.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 413391 and 413400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413411) 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, 198 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (41104).

2⁴¹³⁴¹² is an apocalyptic number.

It is an amenable number.

413412 is an abundant number, since it is smaller than the sum of its proper divisors (573084).

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

413412 is a wasteful number, since it uses less digits than its factorization.

413412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 413412 is about 642.9712279721. The cubic root of 413412 is about 74.4950974958.

Adding to 413412 its reverse (214314), we get a palindrome (627726).

The spelling of 413412 in words is "four hundred thirteen thousand, four hundred twelve".