414135 has 12 divisors (see below), whose sum is σ = 717912. Its totient is φ = 220848.

The previous prime is 414131. The next prime is 414157. The reversal of 414135 is 531414.

It is a happy number.

It is not a de Polignac number, because 414135 - 2² = 414131 is a prime.

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 (414131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4557 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (59826).

2⁴¹⁴¹³⁵ is an apocalyptic number.

414135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

414135 is a deficient number, since it is larger than the sum of its proper divisors (303777).

414135 is a wasteful number, since it uses less digits than its factorization.

414135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214 (or 9211 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 414135 is about 643.5332159260. The cubic root of 414135 is about 74.5384993872.

Adding to 414135 its reverse (531414), we get a palindrome (945549).

The spelling of 414135 in words is "four hundred fourteen thousand, one hundred thirty-five".