819189240 has 64 divisors (see below), whose sum is σ = 2459496960. Its totient is φ = 218279040.

The previous prime is 819189211. The next prime is 819189247. The reversal of 819189240 is 42981918.

It is a junction number, because it is equal to n+sod(n) for n = 819189192 and 819189201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819189247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 248805 + ... + 252075.

It is an arithmetic number, because the mean of its divisors is an integer number (38429640).

Almost surely, 2^819189240 is an apocalyptic number.

It is an amenable number.

819189240 is an abundant number, since it is smaller than the sum of its proper divisors (1640307720).

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

819189240 is a wasteful number, since it uses less digits than its factorization.

819189240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5372 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 819189240 is about 28621.4821419157. The cubic root of 819189240 is about 935.6815795395.

The spelling of 819189240 in words is "eight hundred nineteen million, one hundred eighty-nine thousand, two hundred forty".