528409 has 16 divisors (see below), whose sum is σ = 662400. Its totient is φ = 411264.

The previous prime is 528403. The next prime is 528413. The reversal of 528409 is 904825.

It is a happy number.

It is not a de Polignac number, because 528409 - 2³ = 528401 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (528401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3789 + ... + 3925.

It is an arithmetic number, because the mean of its divisors is an integer number (41400).

2⁵²⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

528409 is a deficient number, since it is larger than the sum of its proper divisors (133991).

528409 is a wasteful number, since it uses less digits than its factorization.

528409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 528409 is about 726.9174643658. The cubic root of 528409 is about 80.8456645611.

The spelling of 528409 in words is "five hundred twenty-eight thousand, four hundred nine".