819745248 has 48 divisors (see below), whose sum is σ = 2459237760. Its totient is φ = 234212736.

The previous prime is 819745247. The next prime is 819745261. The reversal of 819745248 is 842547918.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 819745197 and 819745206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819745247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 609258 + ... + 610601.

It is an arithmetic number, because the mean of its divisors is an integer number (51234120).

Almost surely, 2^819745248 is an apocalyptic number.

It is an amenable number.

819745248 is an abundant number, since it is smaller than the sum of its proper divisors (1639492512).

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

819745248 is a wasteful number, since it uses less digits than its factorization.

819745248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219879 (or 1219871 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 819745248 is about 28631.1936181501. The cubic root of 819745248 is about 935.8932232641.

The spelling of 819745248 in words is "eight hundred nineteen million, seven hundred forty-five thousand, two hundred forty-eight".