409252 has 12 divisors (see below), whose sum is σ = 723996. Its totient is φ = 202400.

The previous prime is 409237. The next prime is 409259. The reversal of 409252 is 252904.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 173056 + 236196 = 416^2 + 486^2 .

It is not an unprimeable number, because it can be changed into a prime (409259) 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, 103 + ... + 910.

It is an arithmetic number, because the mean of its divisors is an integer number (60333).

2⁴⁰⁹²⁵² is an apocalyptic number.

It is an amenable number.

409252 is a deficient number, since it is larger than the sum of its proper divisors (314744).

409252 is a wasteful number, since it uses less digits than its factorization.

409252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 409252 is about 639.7280672286. The cubic root of 409252 is about 74.2443831792.

The spelling of 409252 in words is "four hundred nine thousand, two hundred fifty-two".