415164 has 24 divisors (see below), whose sum is σ = 1002960. Its totient is φ = 133504.

The previous prime is 415159. The next prime is 415171. The reversal of 415164 is 461514.

It is a super-2 number, since 2×415164² = 344722293792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 415164.

It is a congruent number.

It is an unprimeable number.

415164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 249 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (41790).

2⁴¹⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

415164 is an abundant number, since it is smaller than the sum of its proper divisors (587796).

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

415164 is a wasteful number, since it uses less digits than its factorization.

415164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1227 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 415164 is about 644.3322124494. The cubic root of 415164 is about 74.6001835223.

Adding to 415164 its reverse (461514), we get a palindrome (876678).

The spelling of 415164 in words is "four hundred fifteen thousand, one hundred sixty-four".