413124 has 24 divisors (see below), whose sum is σ = 974400. Its totient is φ = 136224.

The previous prime is 413113. The next prime is 413129. The reversal of 413124 is 421314.

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

It is not an unprimeable number, because it can be changed into a prime (413129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1977 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (40600).

2⁴¹³¹²⁴ is an apocalyptic number.

It is an amenable number.

413124 is an abundant number, since it is smaller than the sum of its proper divisors (561276).

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

413124 is a wasteful number, since it uses less digits than its factorization.

413124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 413124 is about 642.7472286988. The cubic root of 413124 is about 74.4777946824.

Adding to 413124 its reverse (421314), we get a palindrome (834438).

The spelling of 413124 in words is "four hundred thirteen thousand, one hundred twenty-four".