414314 has 8 divisors (see below), whose sum is σ = 654240. Its totient is φ = 196236.

The previous prime is 414313. The next prime is 414329. The reversal of 414314 is 413414.

414314 = 33² + 34² + ... + 108².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 414292 and 414301.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414314.

It is not an unprimeable number, because it can be changed into a prime (414311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5414 + ... + 5489.

It is an arithmetic number, because the mean of its divisors is an integer number (81780).

2⁴¹⁴³¹⁴ is an apocalyptic number.

414314 is a deficient number, since it is larger than the sum of its proper divisors (239926).

414314 is a wasteful number, since it uses less digits than its factorization.

414314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924.

The product of its digits is 192, while the sum is 17.

The square root of 414314 is about 643.6722768614. The cubic root of 414314 is about 74.5492370045.

Adding to 414314 its reverse (413414), we get a palindrome (827728).

Subtracting from 414314 its reverse (413414), we obtain a square (900 = 30²).

The spelling of 414314 in words is "four hundred fourteen thousand, three hundred fourteen", and thus it is an iban number.