413816900 has 72 divisors (see below), whose sum is σ = 1033892160. Its totient is φ = 140826240.

The previous prime is 413816881. The next prime is 413816947. The reversal of 413816900 is 9618314.

It is a happy number.

It is a super-2 number, since 2×413816900² = 342488853451220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95174 + ... + 99426.

Almost surely, 2^413816900 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 413816900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516946080).

413816900 is an abundant number, since it is smaller than the sum of its proper divisors (620075260).

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

413816900 is a wasteful number, since it uses less digits than its factorization.

413816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 413816900 is about 20342.4900147450. The cubic root of 413816900 is about 745.1940998391.

The spelling of 413816900 in words is "four hundred thirteen million, eight hundred sixteen thousand, nine hundred".