413204220 has 192 divisors, whose sum is σ = 1510548480. Its totient is φ = 92448000.

The previous prime is 413204219. The next prime is 413204221. The reversal of 413204220 is 22402314.

It is an interprime number because it is at equal distance from previous prime (413204219) and next prime (413204221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413204193 and 413204202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413204221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74545 + ... + 79895.

It is an arithmetic number, because the mean of its divisors is an integer number (7867440).

Almost surely, 2^413204220 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 413204220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755274240).

413204220 is an abundant number, since it is smaller than the sum of its proper divisors (1097344260).

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

413204220 is a wasteful number, since it uses less digits than its factorization.

413204220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5393 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 413204220 is about 20327.4253165520. The cubic root of 413204220 is about 744.8261504469.

Adding to 413204220 its reverse (22402314), we get a palindrome (435606534).

The spelling of 413204220 in words is "four hundred thirteen million, two hundred four thousand, two hundred twenty".