409842 has 12 divisors (see below), whose sum is σ = 888030. Its totient is φ = 136608.

The previous prime is 409841. The next prime is 409861. The reversal of 409842 is 248904.

409842 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 408321 + 1521 = 639^2 + 39^2 .

It is not an unprimeable number, because it can be changed into a prime (409841) 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, 11367 + ... + 11402.

2⁴⁰⁹⁸⁴² is an apocalyptic number.

409842 is an abundant number, since it is smaller than the sum of its proper divisors (478188).

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

409842 is a wasteful number, since it uses less digits than its factorization.

409842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22777 (or 22774 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 409842 is about 640.1890345828. The cubic root of 409842 is about 74.2800442981.

The spelling of 409842 in words is "four hundred nine thousand, eight hundred forty-two".