413684 has 6 divisors (see below), whose sum is σ = 723954. Its totient is φ = 206840.

The previous prime is 413683. The next prime is 413689. The reversal of 413684 is 486314.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 77284 = 580^2 + 278^2 .

It is a super-2 number, since 2×413684² = 342268903712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51707 + ... + 51714.

It is an arithmetic number, because the mean of its divisors is an integer number (120659).

2⁴¹³⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

413684 is a deficient number, since it is larger than the sum of its proper divisors (310270).

413684 is a wasteful number, since it uses less digits than its factorization.

413684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103425 (or 103423 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 413684 is about 643.1827112104. The cubic root of 413684 is about 74.5114316647.

Adding to 413684 its reverse (486314), we get a palindrome (899998).

The spelling of 413684 in words is "four hundred thirteen thousand, six hundred eighty-four".