413442204 has 144 divisors (see below), whose sum is σ = 1233388800. Its totient is φ = 106977024.

The previous prime is 413442203. The next prime is 413442233. The reversal of 413442204 is 402244314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413442203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256152 + ... + 257760.

It is an arithmetic number, because the mean of its divisors is an integer number (8565200).

Almost surely, 2^413442204 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 413442204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616694400).

413442204 is an abundant number, since it is smaller than the sum of its proper divisors (819946596).

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

413442204 is a wasteful number, since it uses less digits than its factorization.

413442204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 413442204 is about 20333.2782403625. The cubic root of 413442204 is about 744.9691166274.

Adding to 413442204 its reverse (402244314), we get a palindrome (815686518).

The spelling of 413442204 in words is "four hundred thirteen million, four hundred forty-two thousand, two hundred four".