413224020 has 72 divisors (see below), whose sum is σ = 1367402400. Its totient is φ = 100175040.

The previous prime is 413224013. The next prime is 413224037. The reversal of 413224020 is 20422314.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 413223984 and 413224002.

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 23 ways as a sum of consecutive naturals, for example, 102370 + ... + 106329.

It is an arithmetic number, because the mean of its divisors is an integer number (18991700).

Almost surely, 2^413224020 is an apocalyptic number.

It is an amenable number.

413224020 is an abundant number, since it is smaller than the sum of its proper divisors (954178380).

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

413224020 is a wasteful number, since it uses less digits than its factorization.

413224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208725 (or 208720 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 413224020 is about 20327.9123374733. The cubic root of 413224020 is about 744.8380471649.

Adding to 413224020 its reverse (20422314), we get a palindrome (433646334).

The spelling of 413224020 in words is "four hundred thirteen million, two hundred twenty-four thousand, twenty".