409728 has 64 divisors (see below), whose sum is σ = 1199520. Its totient is φ = 122880.
The previous prime is 409723. The next prime is 409729. The reversal of 409728 is 827904.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 409695 and 409704.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (409723) by changing a digit.
409728 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 7 ways as a sum of consecutive naturals, for example, 4176 + ... + 4272.
2409728 is an apocalyptic number.
409728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599760).
409728 is an abundant number, since it is smaller than the sum of its proper divisors (789792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
409728 is a wasteful number, since it uses less digits than its factorization.
409728 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 125 (or 113 counting only the distinct ones).
The product of its (nonzero) digits is 4032, while the sum is 30.
The square root of 409728 is about 640.0999921887. The cubic root of 409728 is about 74.2731565135.
The spelling of 409728 in words is "four hundred nine thousand, seven hundred twenty-eight".
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