820046288 has 20 divisors (see below), whose sum is σ = 1603692000. Its totient is φ = 406190304.

The previous prime is 820046287. The next prime is 820046291. The reversal of 820046288 is 882640028.

It is a super-3 number, since 3×820046288³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820046287) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 237788 + ... + 241211.

It is an arithmetic number, because the mean of its divisors is an integer number (80184600).

Almost surely, 2^820046288 is an apocalyptic number.

It is an amenable number.

820046288 is a deficient number, since it is larger than the sum of its proper divisors (783645712).

820046288 is a wasteful number, since it uses less digits than its factorization.

820046288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479114 (or 479108 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 820046288 is about 28636.4503386855. The cubic root of 820046288 is about 936.0077738171.

The spelling of 820046288 in words is "eight hundred twenty million, forty-six thousand, two hundred eighty-eight".