819883350 has 384 divisors, whose sum is σ = 2759823360. Its totient is φ = 176256000.

The previous prime is 819883343. The next prime is 819883373. The reversal of 819883350 is 53388918.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 819883296 and 819883305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5984482 + ... + 5984618.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 2^819883350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819883350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379911680).

819883350 is an abundant number, since it is smaller than the sum of its proper divisors (1939940010).

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

819883350 is a wasteful number, since it uses less digits than its factorization.

819883350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 819883350 is about 28633.6052567608. The cubic root of 819883350 is about 935.9457767734.

The spelling of 819883350 in words is "eight hundred nineteen million, eight hundred eighty-three thousand, three hundred fifty".