413041002 has 48 divisors (see below), whose sum is σ = 914763360. Its totient is φ = 124233120.

The previous prime is 413041001. The next prime is 413041051. The reversal of 413041002 is 200140314.

It is not an unprimeable number, because it can be changed into a prime (413041001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98868 + ... + 102960.

It is an arithmetic number, because the mean of its divisors is an integer number (19057570).

Almost surely, 2^413041002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413041002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457381680).

413041002 is an abundant number, since it is smaller than the sum of its proper divisors (501722358).

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

413041002 is a wasteful number, since it uses less digits than its factorization.

413041002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 413041002 is about 20323.4101961260. The cubic root of 413041002 is about 744.7280673530.

Adding to 413041002 its reverse (200140314), we get a palindrome (613181316).

The spelling of 413041002 in words is "four hundred thirteen million, forty-one thousand, two".