820480436 has 12 divisors (see below), whose sum is σ = 1442112420. Its totient is φ = 408448320.

The previous prime is 820480393. The next prime is 820480447. The reversal of 820480436 is 634084028.

820480436 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 2 ways, for example, as 388090000 + 432390436 = 19700^2 + 20794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 820480396 and 820480405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 446945 + ... + 448776.

It is an arithmetic number, because the mean of its divisors is an integer number (120176035).

Almost surely, 2^820480436 is an apocalyptic number.

It is an amenable number.

820480436 is a deficient number, since it is larger than the sum of its proper divisors (621631984).

820480436 is a wasteful number, since it uses less digits than its factorization.

820480436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895954 (or 895952 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 820480436 is about 28644.0296746111. The cubic root of 820480436 is about 936.1729247431.

The spelling of 820480436 in words is "eight hundred twenty million, four hundred eighty thousand, four hundred thirty-six".