820458056 has 32 divisors (see below), whose sum is σ = 1680281280. Its totient is φ = 372475200.

The previous prime is 820458049. The next prime is 820458061. The reversal of 820458056 is 650854028.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71861 + ... + 82491.

It is an arithmetic number, because the mean of its divisors is an integer number (52508790).

Almost surely, 2^820458056 is an apocalyptic number.

It is an amenable number.

820458056 is an abundant number, since it is smaller than the sum of its proper divisors (859823224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820458056 is a wasteful number, since it uses less digits than its factorization.

820458056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 820458056 is about 28643.6390146224. The cubic root of 820458056 is about 936.1644127626.

The spelling of 820458056 in words is "eight hundred twenty million, four hundred fifty-eight thousand, fifty-six".