413323600 has 30 divisors (see below), whose sum is σ = 993010910. Its totient is φ = 165329280.

The previous prime is 413323579. The next prime is 413323609. The reversal of 413323600 is 6323314.

It can be written as a sum of positive squares in 3 ways, for example, as 13483584 + 399840016 = 3672^2 + 19996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413323609) by changing a digit.

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, 516255 + ... + 517054.

Almost surely, 2^413323600 is an apocalyptic number.

413323600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413323600 is an abundant number, since it is smaller than the sum of its proper divisors (579687310).

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

413323600 is a wasteful number, since it uses less digits than its factorization.

413323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033327 (or 1033316 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 413323600 is about 20330.3615314632. The cubic root of 413323600 is about 744.8978734834.

Adding to 413323600 its reverse (6323314), we get a palindrome (419646914).

The spelling of 413323600 in words is "four hundred thirteen million, three hundred twenty-three thousand, six hundred".