413024020 has 12 divisors (see below), whose sum is σ = 867350484. Its totient is φ = 165209600.

The previous prime is 413024009. The next prime is 413024023. The reversal of 413024020 is 20420314.

It can be written as a sum of positive squares in 2 ways, for example, as 315488644 + 97535376 = 17762^2 + 9876^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413023985 and 413024003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413024023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10325581 + ... + 10325620.

It is an arithmetic number, because the mean of its divisors is an integer number (72279207).

Almost surely, 2^413024020 is an apocalyptic number.

It is an amenable number.

413024020 is an abundant number, since it is smaller than the sum of its proper divisors (454326464).

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

413024020 is a wasteful number, since it uses less digits than its factorization.

413024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651210 (or 20651208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 413024020 is about 20322.9923977745. The cubic root of 413024020 is about 744.7178608236.

Adding to 413024020 its reverse (20420314), we get a palindrome (433444334).

The spelling of 413024020 in words is "four hundred thirteen million, twenty-four thousand, twenty".