434080650200 has 96 divisors (see below), whose sum is σ = 1016372448000. Its totient is φ = 172408325760.

The previous prime is 434080650193. The next prime is 434080650203. The reversal of 434080650200 is 2056080434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434080650203) 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 23 ways as a sum of consecutive naturals, for example, 20008559 + ... + 20030241.

It is an arithmetic number, because the mean of its divisors is an integer number (10587213000).

Almost surely, 2^434080650200 is an apocalyptic number.

434080650200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434080650200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508186224000).

434080650200 is an abundant number, since it is smaller than the sum of its proper divisors (582291797800).

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

434080650200 is a wasteful number, since it uses less digits than its factorization.

434080650200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22401 (or 22392 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 434080650200 in words is "four hundred thirty-four billion, eighty million, six hundred fifty thousand, two hundred".