820535463 has 48 divisors (see below), whose sum is σ = 1369180800. Its totient is φ = 468296640.

The previous prime is 820535459. The next prime is 820535467. The reversal of 820535463 is 364535028.

It is a happy number.

820535463 is a `hidden beast` number, since 82 + 0 + 535 + 46 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (820535459) and next prime (820535467).

It is not a de Polignac number, because 820535463 - 2² = 820535459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820535467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335481 + ... + 337917.

It is an arithmetic number, because the mean of its divisors is an integer number (28524600).

Almost surely, 2^820535463 is an apocalyptic number.

820535463 is a deficient number, since it is larger than the sum of its proper divisors (548645337).

820535463 is a wasteful number, since it uses less digits than its factorization.

820535463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 820535463 is about 28644.9901902584. The cubic root of 820535463 is about 936.1938529837.

The spelling of 820535463 in words is "eight hundred twenty million, five hundred thirty-five thousand, four hundred sixty-three".