413441024 has 44 divisors (see below), whose sum is σ = 831884424. Its totient is φ = 205369344.

The previous prime is 413440991. The next prime is 413441029. The reversal of 413441024 is 420144314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413441029) 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, 165674 + ... + 168150.

Almost surely, 2^413441024 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 413441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415942212).

413441024 is an abundant number, since it is smaller than the sum of its proper divisors (418443400).

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

413441024 is a wasteful number, since it uses less digits than its factorization.

413441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 413441024 is about 20333.2492238698. The cubic root of 413441024 is about 744.9684078912.

Adding to 413441024 its reverse (420144314), we get a palindrome (833585338).

The spelling of 413441024 in words is "four hundred thirteen million, four hundred forty-one thousand, twenty-four".