434334264 has 128 divisors (see below), whose sum is σ = 1355719680. Its totient is φ = 112896000.

The previous prime is 434334259. The next prime is 434334289. The reversal of 434334264 is 462433434.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153664 + ... + 156464.

It is an arithmetic number, because the mean of its divisors is an integer number (10591560).

Almost surely, 2^434334264 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 434334264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677859840).

434334264 is an abundant number, since it is smaller than the sum of its proper divisors (921385416).

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

434334264 is a wasteful number, since it uses less digits than its factorization.

434334264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2897 counting only the distinct ones).

The product of its digits is 82944, while the sum is 33.

The square root of 434334264 is about 20840.6877045840. The cubic root of 434334264 is about 757.3117535909.

Adding to 434334264 its reverse (462433434), we get a palindrome (896767698).

The spelling of 434334264 in words is "four hundred thirty-four million, three hundred thirty-four thousand, two hundred sixty-four".