819716352 has 288 divisors, whose sum is σ = 2766365952. Its totient is φ = 209682432.

The previous prime is 819716309. The next prime is 819716357. The reversal of 819716352 is 253617918.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (819716357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585698 + ... + 2586014.

Almost surely, 2^819716352 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 819716352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383182976).

819716352 is an abundant number, since it is smaller than the sum of its proper divisors (1946649600).

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

819716352 is a wasteful number, since it uses less digits than its factorization.

819716352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 819716352 is about 28630.6889892646. The cubic root of 819716352 is about 935.8822263972.

The spelling of 819716352 in words is "eight hundred nineteen million, seven hundred sixteen thousand, three hundred fifty-two".