413115200 has 42 divisors (see below), whose sum is σ = 1016525526. Its totient is φ = 165245440.

The previous prime is 413115191. The next prime is 413115223. The reversal of 413115200 is 2511314.

It can be written as a sum of positive squares in 3 ways, for example, as 64770304 + 348344896 = 8048^2 + 18664^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 127499 + ... + 130698.

Almost surely, 2^413115200 is an apocalyptic number.

413115200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413115200 is an abundant number, since it is smaller than the sum of its proper divisors (603410326).

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

413115200 is a wasteful number, since it uses less digits than its factorization.

413115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258219 (or 258204 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 413115200 is about 20325.2355459906. The cubic root of 413115200 is about 744.7726585876.

Adding to 413115200 its reverse (2511314), we get a palindrome (415626514).

The spelling of 413115200 in words is "four hundred thirteen million, one hundred fifteen thousand, two hundred".