409260 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 103104.

The previous prime is 409259. The next prime is 409261. The reversal of 409260 is 62904.

409260 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 (409259) and next prime (409261).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409260.

It is not an unprimeable number, because it can be changed into a prime (409261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 961 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2⁴⁰⁹²⁶⁰ 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 409260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

409260 is an abundant number, since it is smaller than the sum of its proper divisors (800340).

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

409260 is a wasteful number, since it uses less digits than its factorization.

409260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 409260 is about 639.7343198547. The cubic root of 409260 is about 74.2448669489.

The spelling of 409260 in words is "four hundred nine thousand, two hundred sixty".