409604 has 12 divisors (see below), whose sum is σ = 772044. Its totient is φ = 189024.

The previous prime is 409597. The next prime is 409609. The reversal of 409604 is 406904.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 348100 = 248^2 + 590^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 409604.

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 3 ways as a sum of consecutive naturals, for example, 3887 + ... + 3990.

It is an arithmetic number, because the mean of its divisors is an integer number (64337).

2⁴⁰⁹⁶⁰⁴ is an apocalyptic number.

It is an amenable number.

409604 is a deficient number, since it is larger than the sum of its proper divisors (362440).

409604 is a wasteful number, since it uses less digits than its factorization.

409604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7894 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 409604 is about 640.0031249924. The cubic root of 409604 is about 74.2656630864.

The spelling of 409604 in words is "four hundred nine thousand, six hundred four".