413413242 has 64 divisors (see below), whose sum is σ = 959817600. Its totient is φ = 117319680.

The previous prime is 413413237. The next prime is 413413243. The reversal of 413413242 is 242314314.

It is not an unprimeable number, because it can be changed into a prime (413413243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256134 + ... + 257742.

It is an arithmetic number, because the mean of its divisors is an integer number (14997150).

Almost surely, 2^413413242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413413242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479908800).

413413242 is an abundant number, since it is smaller than the sum of its proper divisors (546404358).

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

413413242 is a wasteful number, since it uses less digits than its factorization.

413413242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871.

The product of its digits is 2304, while the sum is 24.

The square root of 413413242 is about 20332.5660456323. The cubic root of 413413242 is about 744.9517209679.

Adding to 413413242 its reverse (242314314), we get a palindrome (655727556).

The spelling of 413413242 in words is "four hundred thirteen million, four hundred thirteen thousand, two hundred forty-two".