434756928321 has 9 divisors (see below), whose sum is σ = 627985087041. Its totient is φ = 289836633492.

The previous prime is 434756928313. The next prime is 434756928377. The reversal of 434756928321 is 123829657434.

The square root of 434756928321 is 659361.

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

434756928321 is a `hidden beast` number, since 4 + 3 + 47 + 569 + 2 + 8 + 32 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 434756928321 - 2³ = 434756928313 is a prime.

It is a super-2 number, since 2×434756928321² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (434756928391) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1868190 + ... + 2087976.

Almost surely, 2^434756928321 is an apocalyptic number.

434756928321 is the 659361-st square number.

434756928321 is the 329681-st centered octagonal number.

It is an amenable number.

434756928321 is a deficient number, since it is larger than the sum of its proper divisors (193228158720).

434756928321 is an frugal number, since it uses more digits than its factorization.

434756928321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439580 (or 219790 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

It can be divided in two parts, 43475 and 6928321, that added together give a palindrome (6971796).

The spelling of 434756928321 in words is "four hundred thirty-four billion, seven hundred fifty-six million, nine hundred twenty-eight thousand, three hundred twenty-one".