434104222300 has 144 divisors (see below), whose sum is σ = 1088030361600. Its totient is φ = 147255229440.

The previous prime is 434104222261. The next prime is 434104222351. The reversal of 434104222300 is 3222401434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107210676 + ... + 107214724.

It is an arithmetic number, because the mean of its divisors is an integer number (7555766400).

Almost surely, 2^434104222300 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 434104222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544015180800).

434104222300 is an abundant number, since it is smaller than the sum of its proper divisors (653926139300).

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

434104222300 is a wasteful number, since it uses less digits than its factorization.

434104222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 434104222300 its reverse (3222401434), we get a palindrome (437326623734).

The spelling of 434104222300 in words is "four hundred thirty-four billion, one hundred four million, two hundred twenty-two thousand, three hundred".