413042520 has 256 divisors, whose sum is σ = 1459814400. Its totient is φ = 92413440.

The previous prime is 413042449. The next prime is 413042527. The reversal of 413042520 is 25240314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413042527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1078249 + ... + 1078631.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2^413042520 is an apocalyptic number.

413042520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413042520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729907200).

413042520 is an abundant number, since it is smaller than the sum of its proper divisors (1046771880).

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

413042520 is a wasteful number, since it uses less digits than its factorization.

413042520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 413042520 is about 20323.4475421863. The cubic root of 413042520 is about 744.7289796884.

Adding to 413042520 its reverse (25240314), we get a palindrome (438282834).

The spelling of 413042520 in words is "four hundred thirteen million, forty-two thousand, five hundred twenty".