413144124 has 48 divisors (see below), whose sum is σ = 1015752192. Its totient is φ = 130439232.

The previous prime is 413144111. The next prime is 413144191. The reversal of 413144124 is 421441314.

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

It is a junction number, because it is equal to n+sod(n) for n = 413144094 and 413144103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21162 + ... + 35694.

It is an arithmetic number, because the mean of its divisors is an integer number (21161504).

Almost surely, 2^413144124 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 413144124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507876096).

413144124 is an abundant number, since it is smaller than the sum of its proper divisors (602608068).

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

413144124 is a wasteful number, since it uses less digits than its factorization.

413144124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14666 (or 14664 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 413144124 is about 20325.9470628062. The cubic root of 413144124 is about 744.7900397778.

Adding to 413144124 its reverse (421441314), we get a palindrome (834585438).

The spelling of 413144124 in words is "four hundred thirteen million, one hundred forty-four thousand, one hundred twenty-four".