409164 has 24 divisors (see below), whose sum is σ = 1091328. Its totient is φ = 116880.

The previous prime is 409163. The next prime is 409177. The reversal of 409164 is 461904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2352 + ... + 2519.

It is an arithmetic number, because the mean of its divisors is an integer number (45472).

2⁴⁰⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

409164 is an abundant number, since it is smaller than the sum of its proper divisors (682164).

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

409164 is a wasteful number, since it uses less digits than its factorization.

409164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 409164 is about 639.6592843069. The cubic root of 409164 is about 74.2390612960.

It can be divided in two parts, 409 and 164, that multiplied together give a palindrome (67076).

The spelling of 409164 in words is "four hundred nine thousand, one hundred sixty-four".