409716 has 36 divisors (see below), whose sum is σ = 1092000. Its totient is φ = 129168.

The previous prime is 409711. The next prime is 409723. The reversal of 409716 is 617904.

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

It is a super-3 number, since 3×409716³ = 206333633951921088, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 409716.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 409716.

It is not an unprimeable number, because it can be changed into a prime (409711) by changing a digit.

409716 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385 + ... + 983.

2⁴⁰⁹⁷¹⁶ 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 409716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546000).

409716 is an abundant number, since it is smaller than the sum of its proper divisors (682284).

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

409716 is a wasteful number, since it uses less digits than its factorization.

409716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 409716 is about 640.0906185846. The cubic root of 409716 is about 74.2724314092.

The spelling of 409716 in words is "four hundred nine thousand, seven hundred sixteen".