413696 has 26 divisors (see below), whose sum is σ = 835482. Its totient is φ = 204800.

The previous prime is 413689. The next prime is 413711. The reversal of 413696 is 696314.

It can be written as a sum of positive squares in only one way, i.e., 409600 + 4096 = 640^2 + 64^2 .

It is a super-2 number, since 2×413696² = 342288760832, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

413696 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 as a sum of consecutive naturals, namely, 4046 + ... + 4146.

2⁴¹³⁶⁹⁶ 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 413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417741).

413696 is an abundant number, since it is smaller than the sum of its proper divisors (421786).

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

413696 is an equidigital number, since it uses as much as digits as its factorization.

413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 413696 is about 643.1920397517. The cubic root of 413696 is about 74.5121521249.

The spelling of 413696 in words is "four hundred thirteen thousand, six hundred ninety-six".