408852 has 36 divisors (see below), whose sum is σ = 1062516. Its totient is φ = 132480.

The previous prime is 408841. The next prime is 408857. The reversal of 408852 is 258804.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 367236 = 204^2 + 606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408857) by changing a digit.

408852 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 11 ways as a sum of consecutive naturals, for example, 1338 + ... + 1614.

2⁴⁰⁸⁸⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531258).

408852 is an abundant number, since it is smaller than the sum of its proper divisors (653664).

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

408852 is a wasteful number, since it uses less digits than its factorization.

408852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 408852 is about 639.4153579638. The cubic root of 408852 is about 74.2201866499.

The spelling of 408852 in words is "four hundred eight thousand, eight hundred fifty-two".