434442284352 has 70 divisors (see below), whose sum is σ = 1287823044618. Its totient is φ = 144814093056.

The previous prime is 434442284329. The next prime is 434442284359. The reversal of 434442284352 is 253482244434.

434442284352 is a `hidden beast` number, since 4 + 34 + 44 + 228 + 4 + 352 = 666.

It can be written as a sum of positive squares in only one way, i.e., 358676418816 + 75765865536 = 598896^2 + 275256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434442284298 and 434442284307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434442284359) 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 9 ways as a sum of consecutive naturals, for example, 41897043 + ... + 41907410.

Almost surely, 2^434442284352 is an apocalyptic number.

It is an amenable number.

434442284352 is an abundant number, since it is smaller than the sum of its proper divisors (853380760266).

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

434442284352 is an equidigital number, since it uses as much as digits as its factorization.

434442284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83804477 (or 83804458 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 45.

The spelling of 434442284352 in words is "four hundred thirty-four billion, four hundred forty-two million, two hundred eighty-four thousand, three hundred fifty-two".