413322021 has 40 divisors (see below), whose sum is σ = 711991104. Its totient is φ = 234057600.

The previous prime is 413322001. The next prime is 413322023. The reversal of 413322021 is 120223314.

It is not a de Polignac number, because 413322021 - 2⁷ = 413321893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413321985 and 413322003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413322023) 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 39 ways as a sum of consecutive naturals, for example, 60846 + ... + 67296.

Almost surely, 2^413322021 is an apocalyptic number.

It is an amenable number.

413322021 is a deficient number, since it is larger than the sum of its proper divisors (298669083).

413322021 is a wasteful number, since it uses less digits than its factorization.

413322021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413322021 is about 20330.3226978816. The cubic root of 413322021 is about 744.8969249165.

Adding to 413322021 its reverse (120223314), we get a palindrome (533545335).

The spelling of 413322021 in words is "four hundred thirteen million, three hundred twenty-two thousand, twenty-one".