816384420 has 120 divisors (see below), whose sum is σ = 2593852800. Its totient is φ = 214913088.

The previous prime is 816384409. The next prime is 816384461. The reversal of 816384420 is 24483618.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 124791 + ... + 131169.

It is an arithmetic number, because the mean of its divisors is an integer number (21615440).

Almost surely, 2^816384420 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 816384420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296926400).

816384420 is an abundant number, since it is smaller than the sum of its proper divisors (1777468380).

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

816384420 is a wasteful number, since it uses less digits than its factorization.

816384420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 816384420 is about 28572.4416177547. The cubic root of 816384420 is about 934.6124658204.

The spelling of 816384420 in words is "eight hundred sixteen million, three hundred eighty-four thousand, four hundred twenty".