414164 has 12 divisors (see below), whose sum is σ = 740544. Its totient is φ = 202584.

The previous prime is 414157. The next prime is 414179. The reversal of 414164 is 461414.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

414164 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, 914 + ... + 1289.

It is an arithmetic number, because the mean of its divisors is an integer number (61712).

2⁴¹⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

414164 is a deficient number, since it is larger than the sum of its proper divisors (326380).

414164 is a wasteful number, since it uses less digits than its factorization.

414164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2252 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 414164 is about 643.5557473910. Note that the first 3 decimals coincide. The cubic root of 414164 is about 74.5402392111.

Adding to 414164 its reverse (461414), we get a palindrome (875578).

It can be divided in two parts, 414 and 164, that multiplied together give a triangular number (67896 = T₃₆₈).

The spelling of 414164 in words is "four hundred fourteen thousand, one hundred sixty-four".