414192 has 20 divisors (see below), whose sum is σ = 1070120. Its totient is φ = 138048.

The previous prime is 414179. The next prime is 414199. The reversal of 414192 is 291414.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414199) by changing a digit.

414192 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, 4267 + ... + 4362.

It is an arithmetic number, because the mean of its divisors is an integer number (53506).

2⁴¹⁴¹⁹² is an apocalyptic number.

It is an amenable number.

414192 is an abundant number, since it is smaller than the sum of its proper divisors (655928).

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

414192 is a wasteful number, since it uses less digits than its factorization.

414192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640 (or 8634 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 414192 is about 643.5775011605. The cubic root of 414192 is about 74.5419189641.

It can be divided in two parts, 414 and 192, that added together give a palindrome (606).

The spelling of 414192 in words is "four hundred fourteen thousand, one hundred ninety-two".