434302952472 has 192 divisors, whose sum is σ = 1265049878400. Its totient is φ = 138043033920.

The previous prime is 434302952471. The next prime is 434302952477. The reversal of 434302952472 is 274259203434.

434302952472 is a `hidden beast` number, since 4 + 3 + 4 + 30 + 29 + 524 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434302952471) 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 47 ways as a sum of consecutive naturals, for example, 37815643 + ... + 37827125.

It is an arithmetic number, because the mean of its divisors is an integer number (6588801450).

Almost surely, 2^434302952472 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 434302952472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632524939200).

434302952472 is an abundant number, since it is smaller than the sum of its proper divisors (830746925928).

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

434302952472 is a wasteful number, since it uses less digits than its factorization.

434302952472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11875 (or 11842 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 434302952472 in words is "four hundred thirty-four billion, three hundred two million, nine hundred fifty-two thousand, four hundred seventy-two".