413004100 has 72 divisors (see below), whose sum is σ = 947439360. Its totient is φ = 155950080.

The previous prime is 413004079. The next prime is 413004107. The reversal of 413004100 is 1400314.

It is not an unprimeable number, because it can be changed into a prime (413004107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180564 + ... + 182836.

It is an arithmetic number, because the mean of its divisors is an integer number (13158880).

Almost surely, 2^413004100 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 413004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473719680).

413004100 is an abundant number, since it is smaller than the sum of its proper divisors (534435260).

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

413004100 is a wasteful number, since it uses less digits than its factorization.

413004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 413004100 is about 20322.5023065566. The cubic root of 413004100 is about 744.7058881395.

Adding to 413004100 its reverse (1400314), we get a palindrome (414404414).

The spelling of 413004100 in words is "four hundred thirteen million, four thousand, one hundred".