470434242854399 has 32 divisors (see below), whose sum is σ = 505470850113600. Its totient is φ = 436275977840640.

The previous prime is 470434242854347. The next prime is 470434242854417. The reversal of 470434242854399 is 993458242434074.

It is a cyclic number.

It is not a de Polignac number, because 470434242854399 - 2³² = 470429947887103 is a prime.

It is a super-3 number, since 3×470434242854399³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470434242854339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170166029 + ... + 172908489.

It is an arithmetic number, because the mean of its divisors is an integer number (15795964066050).

Almost surely, 2^{470434242854399} is an apocalyptic number.

470434242854399 is a deficient number, since it is larger than the sum of its proper divisors (35036607259201).

470434242854399 is a wasteful number, since it uses less digits than its factorization.

470434242854399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743163.

The product of its (nonzero) digits is 836075520, while the sum is 68.

The spelling of 470434242854399 in words is "four hundred seventy trillion, four hundred thirty-four billion, two hundred forty-two million, eight hundred fifty-four thousand, three hundred ninety-nine".