409828 has 12 divisors (see below), whose sum is σ = 742140. Its totient is φ = 197792.

The previous prime is 409823. The next prime is 409831. The reversal of 409828 is 828904.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 131044 = 528^2 + 362^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 409828.

It is not an unprimeable number, because it can be changed into a prime (409823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1651 + ... + 1882.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2⁴⁰⁹⁸²⁸ is an apocalyptic number.

It is an amenable number.

409828 is a deficient number, since it is larger than the sum of its proper divisors (332312).

409828 is a wasteful number, since it uses less digits than its factorization.

409828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 409828 is about 640.1781002190. The cubic root of 409828 is about 74.2791984987.

The spelling of 409828 in words is "four hundred nine thousand, eight hundred twenty-eight".