413220104 has 32 divisors (see below), whose sum is σ = 849925440. Its totient is φ = 186782400.

The previous prime is 413220091. The next prime is 413220109. The reversal of 413220104 is 401022314.

It is not an unprimeable number, because it can be changed into a prime (413220109) 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 7 ways as a sum of consecutive naturals, for example, 2957 + ... + 28899.

It is an arithmetic number, because the mean of its divisors is an integer number (26560170).

Almost surely, 2^413220104 is an apocalyptic number.

413220104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413220104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424962720).

413220104 is an abundant number, since it is smaller than the sum of its proper divisors (436705336).

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

413220104 is a wasteful number, since it uses less digits than its factorization.

413220104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26141 (or 26137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 413220104 is about 20327.8160164834. The cubic root of 413220104 is about 744.8356942886.

Adding to 413220104 its reverse (401022314), we get a palindrome (814242418).

The spelling of 413220104 in words is "four hundred thirteen million, two hundred twenty thousand, one hundred four".