413410520 has 16 divisors (see below), whose sum is σ = 930173760. Its totient is φ = 165364192.

The previous prime is 413410511. The next prime is 413410541. The reversal of 413410520 is 25014314.

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 = 413410492 and 413410501.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5167592 + ... + 5167671.

It is an arithmetic number, because the mean of its divisors is an integer number (58135860).

Almost surely, 2^413410520 is an apocalyptic number.

413410520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413410520 is an abundant number, since it is smaller than the sum of its proper divisors (516763240).

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

413410520 is a wasteful number, since it uses less digits than its factorization.

413410520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335274 (or 10335270 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 413410520 is about 20332.4991085700. The cubic root of 413410520 is about 744.9500859912.

Adding to 413410520 its reverse (25014314), we get a palindrome (438424834).

The spelling of 413410520 in words is "four hundred thirteen million, four hundred ten thousand, five hundred twenty".