820289471 has 8 divisors (see below), whose sum is σ = 825982080. Its totient is φ = 814606488.

The previous prime is 820289467. The next prime is 820289497. The reversal of 820289471 is 174982028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820289471 - 2² = 820289467 is a prime.

It is a super-3 number, since 3×820289471³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820289401) 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 7 ways as a sum of consecutive naturals, for example, 270200 + ... + 273218.

It is an arithmetic number, because the mean of its divisors is an integer number (103247760).

Almost surely, 2^820289471 is an apocalyptic number.

820289471 is a deficient number, since it is larger than the sum of its proper divisors (5692609).

820289471 is a wasteful number, since it uses less digits than its factorization.

820289471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813.

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 820289471 is about 28640.6960634688. The cubic root of 820289471 is about 936.1002883842.

The spelling of 820289471 in words is "eight hundred twenty million, two hundred eighty-nine thousand, four hundred seventy-one".