434214002500 has 60 divisors (see below), whose sum is σ = 949887160684. Its totient is φ = 173621952000.

The previous prime is 434214002491. The next prime is 434214002539. The reversal of 434214002500 is 5200412434.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 252472081156 + 181741921344 = 502466^2 + 426312^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7112104 + ... + 7172896.

Almost surely, 2^434214002500 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 434214002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474943580342).

434214002500 is an abundant number, since it is smaller than the sum of its proper divisors (515673158184).

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

434214002500 is a wasteful number, since it uses less digits than its factorization.

434214002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63674 (or 63657 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 434214002500 its reverse (5200412434), we get a palindrome (439414414934).

The spelling of 434214002500 in words is "four hundred thirty-four billion, two hundred fourteen million, two thousand, five hundred".