413424 has 100 divisors (see below), whose sum is σ = 1350360. Its totient is φ = 120960.

The previous prime is 413417. The next prime is 413429. The reversal of 413424 is 424314.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 413397 and 413406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413429) by changing a digit.

413424 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 in 19 ways as a sum of consecutive naturals, for example, 14242 + ... + 14270.

2⁴¹³⁴²⁴ is an apocalyptic number.

413424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675180).

413424 is an abundant number, since it is smaller than the sum of its proper divisors (936936).

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

413424 is a wasteful number, since it uses less digits than its factorization.

413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 413424 is about 642.9805595817. The cubic root of 413424 is about 74.4958182720.

Adding to 413424 its reverse (424314), we get a palindrome (837738).

The spelling of 413424 in words is "four hundred thirteen thousand, four hundred twenty-four".