413500520 has 32 divisors (see below), whose sum is σ = 985105800. Its totient is φ = 155670528.

The previous prime is 413500489. The next prime is 413500523. The reversal of 413500520 is 25005314.

It can be written as a sum of positive squares in 4 ways, for example, as 279357796 + 134142724 = 16714^2 + 11582^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 413500492 and 413500501.

It is not an unprimeable number, because it can be changed into a prime (413500523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303365 + ... + 304724.

Almost surely, 2^413500520 is an apocalyptic number.

413500520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413500520 is an abundant number, since it is smaller than the sum of its proper divisors (571605280).

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

413500520 is a wasteful number, since it uses less digits than its factorization.

413500520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608117 (or 608113 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 413500520 is about 20334.7121936850. The cubic root of 413500520 is about 745.0041409316.

Adding to 413500520 its reverse (25005314), we get a palindrome (438505834).

The spelling of 413500520 in words is "four hundred thirteen million, five hundred thousand, five hundred twenty".