413414 has 8 divisors (see below), whose sum is σ = 626808. Its totient is φ = 204480.

The previous prime is 413411. The next prime is 413417. The reversal of 413414 is 414314.

It is an interprime number because it is at equal distance from previous prime (413411) and next prime (413417).

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

It is a super-2 number, since 2×413414² = 341822270792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413392 and 413401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413411) 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 3 ways as a sum of consecutive naturals, for example, 872 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (78351).

2⁴¹³⁴¹⁴ is an apocalyptic number.

413414 is a deficient number, since it is larger than the sum of its proper divisors (213394).

413414 is a wasteful number, since it uses less digits than its factorization.

413414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230.

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

The square root of 413414 is about 642.9727832498. The cubic root of 413414 is about 74.4952176261.

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

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

The spelling of 413414 in words is "four hundred thirteen thousand, four hundred fourteen".