413120200 has 48 divisors (see below), whose sum is σ = 971338500. Its totient is φ = 163384320.

The previous prime is 413120189. The next prime is 413120237. The reversal of 413120200 is 2021314.

It can be written as a sum of positive squares in 6 ways, for example, as 133494916 + 279625284 = 11554^2 + 16722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6196 + ... + 29404.

Almost surely, 2^413120200 is an apocalyptic number.

413120200 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 413120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485669250).

413120200 is an abundant number, since it is smaller than the sum of its proper divisors (558218300).

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

413120200 is a wasteful number, since it uses less digits than its factorization.

413120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23314 (or 23305 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 413120200 is about 20325.3585454230. The cubic root of 413120200 is about 744.7756632767.

Adding to 413120200 its reverse (2021314), we get a palindrome (415141514).

The spelling of 413120200 in words is "four hundred thirteen million, one hundred twenty thousand, two hundred".