413624 has 16 divisors (see below), whose sum is σ = 783000. Its totient is φ = 204832.

The previous prime is 413597. The next prime is 413629. The reversal of 413624 is 426314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413596 and 413605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413629) by changing a digit.

413624 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1019 + ... + 1365.

2⁴¹³⁶²⁴ is an apocalyptic number.

It is an amenable number.

413624 is a deficient number, since it is larger than the sum of its proper divisors (369376).

413624 is a wasteful number, since it uses less digits than its factorization.

413624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 413624 is about 643.1360664743. The cubic root of 413624 is about 74.5078291548.

Adding to 413624 its reverse (426314), we get a palindrome (839938).

The spelling of 413624 in words is "four hundred thirteen thousand, six hundred twenty-four".