413524021 has 8 divisors (see below), whose sum is σ = 430659000. Its totient is φ = 396580800.

The previous prime is 413524009. The next prime is 413524087. The reversal of 413524021 is 120425314.

It can be written as a sum of positive squares in 4 ways, for example, as 2002225 + 411521796 = 1415^2 + 20286^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 413524021 - 2¹⁹ = 412999733 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413523983 and 413524001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413524621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43530 + ... + 52171.

It is an arithmetic number, because the mean of its divisors is an integer number (53832375).

Almost surely, 2^413524021 is an apocalyptic number.

It is an amenable number.

413524021 is a deficient number, since it is larger than the sum of its proper divisors (17134979).

413524021 is a wasteful number, since it uses less digits than its factorization.

413524021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95879.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 413524021 is about 20335.2900397314. The cubic root of 413524021 is about 745.0182545863.

Adding to 413524021 its reverse (120425314), we get a palindrome (533949335).

The spelling of 413524021 in words is "four hundred thirteen million, five hundred twenty-four thousand, twenty-one".