409428 has 48 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 127872.

The previous prime is 409397. The next prime is 409429. The reversal of 409428 is 824904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409429) by changing a digit.

409428 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725 + ... + 1947.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁴⁰⁹⁴²⁸ 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 409428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

409428 is an abundant number, since it is smaller than the sum of its proper divisors (719532).

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

409428 is a wasteful number, since it uses less digits than its factorization.

409428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 409428 is about 639.8656108903. The cubic root of 409428 is about 74.2550246574.

The spelling of 409428 in words is "four hundred nine thousand, four hundred twenty-eight".