820464481 has 2 divisors, whose sum is σ = 820464482. Its totient is φ = 820464480.

The previous prime is 820464461. The next prime is 820464527. The reversal of 820464481 is 184464028.

820464481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 518017600 + 302446881 = 22760^2 + 17391^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820464481 is a prime.

It is a super-2 number, since 2×820464481² = 1346323929165198722, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 820464481.

It is not a weakly prime, because it can be changed into another prime (820464451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410232240 + 410232241.

It is an arithmetic number, because the mean of its divisors is an integer number (410232241).

Almost surely, 2^820464481 is an apocalyptic number.

It is an amenable number.

820464481 is a deficient number, since it is larger than the sum of its proper divisors (1).

820464481 is an equidigital number, since it uses as much as digits as its factorization.

820464481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 820464481 is about 28643.7511684486. The cubic root of 820464481 is about 936.1668564547.

The spelling of 820464481 in words is "eight hundred twenty million, four hundred sixty-four thousand, four hundred eighty-one".