819445956 has 48 divisors (see below), whose sum is σ = 2244256896. Its totient is φ = 227798784.

The previous prime is 819445901. The next prime is 819445961. The reversal of 819445956 is 659544918.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 819445899 and 819445908.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 128721 + ... + 134936.

It is an arithmetic number, because the mean of its divisors is an integer number (46755352).

Almost surely, 2^819445956 is an apocalyptic number.

It is an amenable number.

819445956 is an abundant number, since it is smaller than the sum of its proper divisors (1424810940).

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

819445956 is a wasteful number, since it uses less digits than its factorization.

819445956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263708 (or 263706 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 819445956 is about 28625.9664640340. The cubic root of 819445956 is about 935.7793100489.

The spelling of 819445956 in words is "eight hundred nineteen million, four hundred forty-five thousand, nine hundred fifty-six".