409448 has 32 divisors (see below), whose sum is σ = 860160. Its totient is φ = 181440.

The previous prime is 409441. The next prime is 409463. The reversal of 409448 is 844904.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 409448.

It is not an unprimeable number, because it can be changed into a prime (409441) by changing a digit.

409448 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, 3161 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2⁴⁰⁹⁴⁴⁸ 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 409448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430080).

409448 is an abundant number, since it is smaller than the sum of its proper divisors (450712).

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

409448 is a wasteful number, since it uses less digits than its factorization.

409448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 409448 is about 639.8812389811. The cubic root of 409448 is about 74.2562337233.

The spelling of 409448 in words is "four hundred nine thousand, four hundred forty-eight".