409860 has 120 divisors (see below), whose sum is σ = 1463616. Its totient is φ = 95040.

The previous prime is 409841. The next prime is 409861. The reversal of 409860 is 68904.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

409860 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 (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17809 + ... + 17831.

2⁴⁰⁹⁸⁶⁰ 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 409860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808).

409860 is an abundant number, since it is smaller than the sum of its proper divisors (1053756).

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

409860 is a wasteful number, since it uses less digits than its factorization.

409860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 409860 is about 640.2030927760. The cubic root of 409860 is about 74.2811317263.

The spelling of 409860 in words is "four hundred nine thousand, eight hundred sixty".