413112200 has 96 divisors (see below), whose sum is σ = 1034933760. Its totient is φ = 152908800.

The previous prime is 413112173. The next prime is 413112209. The reversal of 413112200 is 2211314.

It is not an unprimeable number, because it can be changed into a prime (413112209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141152 + ... + 144048.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2^413112200 is an apocalyptic number.

413112200 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 413112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

413112200 is an abundant number, since it is smaller than the sum of its proper divisors (621821560).

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

413112200 is a wasteful number, since it uses less digits than its factorization.

413112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 413112200 is about 20325.1617459739. The cubic root of 413112200 is about 744.7708557625.

Adding to 413112200 its reverse (2211314), we get a palindrome (415323514).

The spelling of 413112200 in words is "four hundred thirteen million, one hundred twelve thousand, two hundred".