413311020 has 48 divisors (see below), whose sum is σ = 1162791168. Its totient is φ = 109690560.

The previous prime is 413310991. The next prime is 413311049. The reversal of 413311020 is 20113314.

It is an interprime number because it is at equal distance from previous prime (413310991) and next prime (413311049).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3664 + ... + 28983.

It is an arithmetic number, because the mean of its divisors is an integer number (24224816).

Almost surely, 2^413311020 is an apocalyptic number.

It is an amenable number.

413311020 is an abundant number, since it is smaller than the sum of its proper divisors (749480148).

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

413311020 is a wasteful number, since it uses less digits than its factorization.

413311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32870 (or 32868 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 413311020 is about 20330.0521396282. The cubic root of 413311020 is about 744.8903161197.

Adding to 413311020 its reverse (20113314), we get a palindrome (433424334).

The spelling of 413311020 in words is "four hundred thirteen million, three hundred eleven thousand, twenty".