434224327849 has 27 divisors (see below), whose sum is σ = 474548779407. Its totient is φ = 397145476416.

The previous prime is 434224327847. The next prime is 434224327853. The reversal of 434224327849 is 948723422434.

The square root of 434224327849 is 658957.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 9031651225 + 425192676624 = 95035^2 + 652068^2 .

It is not a de Polignac number, because 434224327849 - 2¹ = 434224327847 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434224327796 and 434224327805.

It is not an unprimeable number, because it can be changed into a prime (434224327847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1481994147 + ... + 1481994439.

Almost surely, 2^434224327849 is an apocalyptic number.

434224327849 is the 658957-th square number.

434224327849 is the 329479-th centered octagonal number.

It is an amenable number.

434224327849 is a deficient number, since it is larger than the sum of its proper divisors (40324451558).

434224327849 is an frugal number, since it uses more digits than its factorization.

434224327849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 479 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 52.

The spelling of 434224327849 in words is "four hundred thirty-four billion, two hundred twenty-four million, three hundred twenty-seven thousand, eight hundred forty-nine".