413412300 has 216 divisors, whose sum is σ = 1492737792. Its totient is φ = 93744000.

The previous prime is 413412299. The next prime is 413412331. The reversal of 413412300 is 3214314.

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 71 ways as a sum of consecutive naturals, for example, 1329145 + ... + 1329455.

Almost surely, 2^413412300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746368896).

413412300 is an abundant number, since it is smaller than the sum of its proper divisors (1079325492).

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

413412300 is a wasteful number, since it uses less digits than its factorization.

413412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413412300 is about 20332.5428808106. The cubic root of 413412300 is about 744.9511551539.

Adding to 413412300 its reverse (3214314), we get a palindrome (416626614).

The spelling of 413412300 in words is "four hundred thirteen million, four hundred twelve thousand, three hundred".