820535456 has 24 divisors (see below), whose sum is σ = 1739693844. Its totient is φ = 378708480.

The previous prime is 820535431. The next prime is 820535459. The reversal of 820535456 is 654535028.

It can be written as a sum of positive squares in 2 ways, for example, as 796368400 + 24167056 = 28220^2 + 4916^2 .

It is not an unprimeable number, because it can be changed into a prime (820535459) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 985805 + ... + 986636.

Almost surely, 2^820535456 is an apocalyptic number.

It is an amenable number.

820535456 is an abundant number, since it is smaller than the sum of its proper divisors (919158388).

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

820535456 is a wasteful number, since it uses less digits than its factorization.

820535456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972464 (or 1972456 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The square root of 820535456 is about 28644.9900680730. The cubic root of 820535456 is about 936.1938503215.

The spelling of 820535456 in words is "eight hundred twenty million, five hundred thirty-five thousand, four hundred fifty-six".