413110200 has 192 divisors, whose sum is σ = 1372813920. Its totient is φ = 102400000.

The previous prime is 413110193. The next prime is 413110207. The reversal of 413110200 is 2011314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413110193) and next prime (413110207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413110207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1030000 + ... + 1030400.

Almost surely, 2^413110200 is an apocalyptic number.

413110200 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 413110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686406960).

413110200 is an abundant number, since it is smaller than the sum of its proper divisors (959703720).

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

413110200 is a wasteful number, since it uses less digits than its factorization.

413110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 413110200 is about 20325.1125458139. The cubic root of 413110200 is about 744.7696538742.

Adding to 413110200 its reverse (2011314), we get a palindrome (415121514).

The spelling of 413110200 in words is "four hundred thirteen million, one hundred ten thousand, two hundred".