413043300 has 90 divisors (see below), whose sum is σ = 1338949458. Its totient is φ = 110142720.

The previous prime is 413043217. The next prime is 413043329. The reversal of 413043300 is 3340314.

It can be written as a sum of positive squares in 3 ways, for example, as 3709476 + 409333824 = 1926^2 + 20232^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 17397 + ... + 33596.

Almost surely, 2^413043300 is an apocalyptic number.

It is an amenable number.

413043300 is an abundant number, since it is smaller than the sum of its proper divisors (925906158).

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

413043300 is a wasteful number, since it uses less digits than its factorization.

413043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51019 (or 51003 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 413043300 is about 20323.4667318349. The cubic root of 413043300 is about 744.7294484765.

Adding to 413043300 its reverse (3340314), we get a palindrome (416383614).

The spelling of 413043300 in words is "four hundred thirteen million, forty-three thousand, three hundred".