413411020 has 72 divisors (see below), whose sum is σ = 961909200. Its totient is φ = 149128320.

The previous prime is 413411017. The next prime is 413411023. The reversal of 413411020 is 20114314.

It is an interprime number because it is at equal distance from previous prime (413411017) and next prime (413411023).

It is a junction number, because it is equal to n+sod(n) for n = 413410985 and 413411003.

It is not an unprimeable number, because it can be changed into a prime (413411023) 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, 335766 + ... + 336994.

It is an arithmetic number, because the mean of its divisors is an integer number (13359850).

Almost surely, 2^413411020 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 413411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480954600).

413411020 is an abundant number, since it is smaller than the sum of its proper divisors (548498180).

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

413411020 is a wasteful number, since it uses less digits than its factorization.

413411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 413411020 is about 20332.5114041527. The cubic root of 413411020 is about 744.9503863181.

Adding to 413411020 its reverse (20114314), we get a palindrome (433525334).

The spelling of 413411020 in words is "four hundred thirteen million, four hundred eleven thousand, twenty".