413144324 has 24 divisors (see below), whose sum is σ = 753422040. Its totient is φ = 197985536.

The previous prime is 413144323. The next prime is 413144363. The reversal of 413144324 is 423441314.

It can be written as a sum of positive squares in 4 ways, for example, as 19518724 + 393625600 = 4418^2 + 19840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413144293 and 413144302.

It is not an unprimeable number, because it can be changed into a prime (413144323) 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, 2894 + ... + 28890.

It is an arithmetic number, because the mean of its divisors is an integer number (31392585).

Almost surely, 2^413144324 is an apocalyptic number.

It is an amenable number.

413144324 is a deficient number, since it is larger than the sum of its proper divisors (340277716).

413144324 is a wasteful number, since it uses less digits than its factorization.

413144324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26167 (or 26165 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 413144324 is about 20325.9519826256. The cubic root of 413144324 is about 744.7901599603.

Adding to 413144324 its reverse (423441314), we get a palindrome (836585638).

The spelling of 413144324 in words is "four hundred thirteen million, one hundred forty-four thousand, three hundred twenty-four".