820680450 has 24 divisors (see below), whose sum is σ = 2035287888. Its totient is φ = 218848080.

The previous prime is 820680403. The next prime is 820680463. The reversal of 820680450 is 54086028.

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 11 ways as a sum of consecutive naturals, for example, 2735452 + ... + 2735751.

It is an arithmetic number, because the mean of its divisors is an integer number (84803662).

Almost surely, 2^820680450 is an apocalyptic number.

820680450 is an abundant number, since it is smaller than the sum of its proper divisors (1214607438).

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

820680450 is a wasteful number, since it uses less digits than its factorization.

820680450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471218 (or 5471213 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 820680450 is about 28647.5208351438. The cubic root of 820680450 is about 936.2489909395.

The spelling of 820680450 in words is "eight hundred twenty million, six hundred eighty thousand, four hundred fifty".