413227200 has 336 divisors, whose sum is σ = 1496689920. Its totient is φ = 99348480.

The previous prime is 413227193. The next prime is 413227201. The reversal of 413227200 is 2722314.

It is not an unprimeable number, because it can be changed into a prime (413227201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2097502 + ... + 2097698.

Almost surely, 2^413227200 is an apocalyptic number.

413227200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748344960).

413227200 is an abundant number, since it is smaller than the sum of its proper divisors (1083462720).

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

413227200 is a wasteful number, since it uses less digits than its factorization.

413227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 413227200 is about 20327.9905548975. The cubic root of 413227200 is about 744.8399578145.

Adding to 413227200 its reverse (2722314), we get a palindrome (415949514).

The spelling of 413227200 in words is "four hundred thirteen million, two hundred twenty-seven thousand, two hundred".