414012 has 12 divisors (see below), whose sum is σ = 966056. Its totient is φ = 138000.

The previous prime is 413981. The next prime is 414013. The reversal of 414012 is 210414.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×414012² = 342811872288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 34501 = 414012 / (4 + 1 + 4 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013) by changing a digit.

414012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17239 + ... + 17262.

2⁴¹⁴⁰¹² is an apocalyptic number.

It is an amenable number.

414012 is an abundant number, since it is smaller than the sum of its proper divisors (552044).

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

414012 is a wasteful number, since it uses less digits than its factorization.

414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34508 (or 34506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 414012 is about 643.4376426663. The cubic root of 414012 is about 74.5311192307.

Adding to 414012 its reverse (210414), we get a palindrome (624426).

The spelling of 414012 in words is "four hundred fourteen thousand, twelve", and thus it is an iban number.