409608 has 24 divisors (see below), whose sum is σ = 1109550. Its totient is φ = 136512.

The previous prime is 409597. The next prime is 409609. The reversal of 409608 is 806904.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 161604 = 498^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (409609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2773 + ... + 2916.

2⁴⁰⁹⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

409608 is an abundant number, since it is smaller than the sum of its proper divisors (699942).

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

409608 is a wasteful number, since it uses less digits than its factorization.

409608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5694 counting only the distinct ones).

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

The square root of 409608 is about 640.0062499695. The cubic root of 409608 is about 74.2659048335.

The spelling of 409608 in words is "four hundred nine thousand, six hundred eight".