409696 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 167040.

The previous prime is 409693. The next prime is 409709. The reversal of 409696 is 696904.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409691) 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 7 ways as a sum of consecutive naturals, for example, 6915 + ... + 6973.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2⁴⁰⁹⁶⁹⁶ 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 409696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

409696 is an abundant number, since it is smaller than the sum of its proper divisors (557984).

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

409696 is a wasteful number, since it uses less digits than its factorization.

409696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 409696 is about 640.0749956060. The cubic root of 409696 is about 74.2712228706.

The spelling of 409696 in words is "four hundred nine thousand, six hundred ninety-six".