414042 has 16 divisors (see below), whose sum is σ = 835392. Its totient is φ = 136800.

The previous prime is 414031. The next prime is 414049. The reversal of 414042 is 240414.

It is not an unprimeable number, because it can be changed into a prime (414049) by changing a digit.

414042 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 7 ways as a sum of consecutive naturals, for example, 678 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (52212).

2⁴¹⁴⁰⁴² is an apocalyptic number.

414042 is an abundant number, since it is smaller than the sum of its proper divisors (421350).

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

414042 is a wasteful number, since it uses less digits than its factorization.

414042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 414042 is about 643.4609545264. The cubic root of 414042 is about 74.5329194036.

Adding to 414042 its reverse (240414), we get a palindrome (654456).

The spelling of 414042 in words is "four hundred fourteen thousand, forty-two", and thus it is an iban number.