434425216500 has 288 divisors, whose sum is σ = 1583002092672. Its totient is φ = 99120000000.

The previous prime is 434425216471. The next prime is 434425216507. The reversal of 434425216500 is 5612524434.

434425216500 is a `hidden beast` number, since 4 + 3 + 442 + 52 + 165 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434425216507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 583375 + ... + 1099625.

It is an arithmetic number, because the mean of its divisors is an integer number (5496535044).

Almost surely, 2^434425216500 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 434425216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791501046336).

434425216500 is an abundant number, since it is smaller than the sum of its proper divisors (1148576876172).

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

434425216500 is a wasteful number, since it uses less digits than its factorization.

434425216500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516304 (or 516289 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 434425216500 in words is "four hundred thirty-four billion, four hundred twenty-five million, two hundred sixteen thousand, five hundred".