413223200 has 72 divisors (see below), whose sum is σ = 1086407028. Its totient is φ = 152570880.

The previous prime is 413223121. The next prime is 413223203. The reversal of 413223200 is 2322314.

It can be written as a sum of positive squares in 6 ways, for example, as 181818256 + 231404944 = 13484^2 + 15212^2 .

It is not an unprimeable number, because it can be changed into a prime (413223203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9467 + ... + 30266.

Almost surely, 2^413223200 is an apocalyptic number.

413223200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413223200 is an abundant number, since it is smaller than the sum of its proper divisors (673183828).

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

413223200 is a wasteful number, since it uses less digits than its factorization.

413223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39766 (or 39753 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 413223200 is about 20327.8921681516. The cubic root of 413223200 is about 744.8375544801.

Adding to 413223200 its reverse (2322314), we get a palindrome (415545514).

The spelling of 413223200 in words is "four hundred thirteen million, two hundred twenty-three thousand, two hundred".