409052 has 18 divisors (see below), whose sum is σ = 833112. Its totient is φ = 175224.

The previous prime is 409043. The next prime is 409063. The reversal of 409052 is 250904.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

409052 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 848 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (46284).

2⁴⁰⁹⁰⁵² is an apocalyptic number.

It is an amenable number.

409052 is an abundant number, since it is smaller than the sum of its proper divisors (424060).

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

409052 is a wasteful number, since it uses less digits than its factorization.

409052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 409052 is about 639.5717317080. The cubic root of 409052 is about 74.2322868863.

Adding to 409052 its reverse (250904), we get a palindrome (659956).

It can be divided in two parts, 40905 and 2, that multiplied together give a triangular number (81810 = T₄₀₄).

The spelling of 409052 in words is "four hundred nine thousand, fifty-two".