820260473 has 16 divisors (see below), whose sum is σ = 859892880. Its totient is φ = 781747200.

The previous prime is 820260451. The next prime is 820260481. The reversal of 820260473 is 374062028.

820260473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 170877184 + 649383289 = 13072^2 + 25483^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820260473 is a prime.

It is a super-3 number, since 3×820260473³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820269473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391613 + ... + 393701.

It is an arithmetic number, because the mean of its divisors is an integer number (53743305).

Almost surely, 2^820260473 is an apocalyptic number.

It is an amenable number.

820260473 is a deficient number, since it is larger than the sum of its proper divisors (39632407).

820260473 is a wasteful number, since it uses less digits than its factorization.

820260473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348.

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 820260473 is about 28640.1898212983. The cubic root of 820260473 is about 936.0892575807.

The spelling of 820260473 in words is "eight hundred twenty million, two hundred sixty thousand, four hundred seventy-three".