409542 has 32 divisors (see below), whose sum is σ = 960000. Its totient is φ = 116424.

The previous prime is 409529. The next prime is 409543. The reversal of 409542 is 245904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (30000).

2⁴⁰⁹⁵⁴² is an apocalyptic number.

409542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 409542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480000).

409542 is an abundant number, since it is smaller than the sum of its proper divisors (550458).

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

409542 is a wasteful number, since it uses less digits than its factorization.

409542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 409542 is about 639.9546858958. The cubic root of 409542 is about 74.2619158058.

The spelling of 409542 in words is "four hundred nine thousand, five hundred forty-two".