413222120 has 32 divisors (see below), whose sum is σ = 949536000. Its totient is φ = 161771328.

The previous prime is 413222101. The next prime is 413222141. The reversal of 413222120 is 21222314.

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 7 ways as a sum of consecutive naturals, for example, 108020 + ... + 111779.

It is an arithmetic number, because the mean of its divisors is an integer number (29673000).

Almost surely, 2^413222120 is an apocalyptic number.

413222120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413222120 is an abundant number, since it is smaller than the sum of its proper divisors (536313880).

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

413222120 is a wasteful number, since it uses less digits than its factorization.

413222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219857 (or 219853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 413222120 is about 20327.8656036486. The cubic root of 413222120 is about 744.8369055771.

Adding to 413222120 its reverse (21222314), we get a palindrome (434444434).

The spelling of 413222120 in words is "four hundred thirteen million, two hundred twenty-two thousand, one hundred twenty".