409864 has 32 divisors (see below), whose sum is σ = 947520. Its totient is φ = 161856.

The previous prime is 409861. The next prime is 409867. The reversal of 409864 is 468904.

409864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (409861) and next prime (409867).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2⁴⁰⁹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473760).

409864 is an abundant number, since it is smaller than the sum of its proper divisors (537656).

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

409864 is a wasteful number, since it uses less digits than its factorization.

409864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 409864 is about 640.2062167771. The cubic root of 409864 is about 74.2813733727.

The spelling of 409864 in words is "four hundred nine thousand, eight hundred sixty-four".