414112 has 12 divisors (see below), whose sum is σ = 815346. Its totient is φ = 207040.

The previous prime is 414109. The next prime is 414131. The reversal of 414112 is 211414.

It can be written as a sum of positive squares in only one way, i.e., 309136 + 104976 = 556^2 + 324^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 414092 and 414101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6439 + ... + 6502.

2⁴¹⁴¹¹² is an apocalyptic number.

It is an amenable number.

414112 is a deficient number, since it is larger than the sum of its proper divisors (401234).

414112 is a wasteful number, since it uses less digits than its factorization.

414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12951 (or 12943 counting only the distinct ones).

The product of its digits is 32, while the sum is 13.

The square root of 414112 is about 643.5153455824. The cubic root of 414112 is about 74.5371194690.

Adding to 414112 its reverse (211414), we get a palindrome (625526).

The spelling of 414112 in words is "four hundred fourteen thousand, one hundred twelve", and thus it is an iban number.