413322400 has 36 divisors (see below), whose sum is σ = 1009025262. Its totient is φ = 165328640.

The previous prime is 413322379. The next prime is 413322433. The reversal of 413322400 is 4223314.

It can be written as a sum of positive squares in 3 ways, for example, as 330803344 + 82519056 = 18188^2 + 9084^2 .

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 5 ways as a sum of consecutive naturals, for example, 257527 + ... + 259126.

Almost surely, 2^413322400 is an apocalyptic number.

413322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413322400 is an abundant number, since it is smaller than the sum of its proper divisors (595702862).

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

413322400 is a wasteful number, since it uses less digits than its factorization.

413322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516673 (or 516660 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 413322400 is about 20330.3320189317. The cubic root of 413322400 is about 744.8971525968.

Adding to 413322400 its reverse (4223314), we get a palindrome (417545714).

The spelling of 413322400 in words is "four hundred thirteen million, three hundred twenty-two thousand, four hundred".