820374493 has 8 divisors (see below), whose sum is σ = 830842040. Its totient is φ = 809948160.

The previous prime is 820374487. The next prime is 820374497. The reversal of 820374493 is 394473028.

It can be written as a sum of positive squares in 4 ways, for example, as 31775769 + 788598724 = 5637^2 + 28082^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820374493 - 2¹³ = 820366301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820374497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30793 + ... + 50881.

It is an arithmetic number, because the mean of its divisors is an integer number (103855255).

Almost surely, 2^820374493 is an apocalyptic number.

It is an amenable number.

820374493 is a deficient number, since it is larger than the sum of its proper divisors (10467547).

820374493 is a wasteful number, since it uses less digits than its factorization.

820374493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607.

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 820374493 is about 28642.1803115615. The cubic root of 820374493 is about 936.1326291501.

The spelling of 820374493 in words is "eight hundred twenty million, three hundred seventy-four thousand, four hundred ninety-three".