822384420 has 288 divisors, whose sum is σ = 2784668544. Its totient is φ = 179712000.

The previous prime is 822384403. The next prime is 822384439. The reversal of 822384420 is 24483228.

It is a super-2 number, since 2×822384420² = 1352632268517472800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8142370 + ... + 8142470.

It is an arithmetic number, because the mean of its divisors is an integer number (9668988).

Almost surely, 2^822384420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392334272).

822384420 is an abundant number, since it is smaller than the sum of its proper divisors (1962284124).

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

822384420 is a wasteful number, since it uses less digits than its factorization.

822384420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 822384420 is about 28677.2456836426. The cubic root of 822384420 is about 936.8965175685.

The spelling of 822384420 in words is "eight hundred twenty-two million, three hundred eighty-four thousand, four hundred twenty".