413103104 has 44 divisors (see below), whose sum is σ = 828420900. Its totient is φ = 205897728.

The previous prime is 413103101. The next prime is 413103109. The reversal of 413103104 is 401301314.

It can be written as a sum of positive squares in 2 ways, for example, as 61465600 + 351637504 = 7840^2 + 18752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413103101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 582302 + ... + 583010.

Almost surely, 2^413103104 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 413103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414210450).

413103104 is an abundant number, since it is smaller than the sum of its proper divisors (415317796).

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

413103104 is an equidigital number, since it uses as much as digits as its factorization.

413103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 413103104 is about 20324.9379826852. The cubic root of 413103104 is about 744.7653895434.

Adding to 413103104 its reverse (401301314), we get a palindrome (814404418).

The spelling of 413103104 in words is "four hundred thirteen million, one hundred three thousand, one hundred four".