412 has 6 divisors (see below), whose sum is σ = 728. Its totient is φ = 204.

The previous prime is 409. The next prime is 419. The reversal of 412 is 214.

Adding to 412 its reverse (214), we get a palindrome (626).

It can be divided in two parts, 4 and 12, that added together give a 4-th power (16 = 2^{4}).

412 is nontrivially palindromic in base 3.

412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

412 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

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

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is one of the 548 Lynch-Bell numbers.

412 is a modest number, since divided by 12 gives 4 as remainder.

It is a plaindrome in base 7, base 11, base 13 and base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 395 and 404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48 + ... + 55.

It is an amenable number.

412 is a deficient number, since it is larger than the sum of its proper divisors (316).

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

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

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its digits is 8, while the sum is 7.

The square root of 412 is about 20.2977831302. The cubic root of 412 is about 7.4410188607.

The spelling of 412 in words is "four hundred twelve", and thus it is an aban number and an iban number.

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