414304200204 has 48 divisors (see below), whose sum is σ = 968623073376. Its totient is φ = 137828275200.

The previous prime is 414304200181. The next prime is 414304200209. The reversal of 414304200204 is 402002403414.

It is a happy number.

It is a super-2 number, since 2×414304200204² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414304200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18875124 + ... + 18897060.

It is an arithmetic number, because the mean of its divisors is an integer number (20179647362).

Almost surely, 2^414304200204 is an apocalyptic number.

It is an amenable number.

414304200204 is an abundant number, since it is smaller than the sum of its proper divisors (554318873172).

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

414304200204 is a wasteful number, since it uses less digits than its factorization.

414304200204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24986 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 414304200204 its reverse (402002403414), we get a palindrome (816306603618).

The spelling of 414304200204 in words is "four hundred fourteen billion, three hundred four million, two hundred thousand, two hundred four".