823196448 has 72 divisors (see below), whose sum is σ = 2344724928. Its totient is φ = 273958272.

The previous prime is 823196447. The next prime is 823196471. The reversal of 823196448 is 844691328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (823196447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212061 + ... + 215907.

It is an arithmetic number, because the mean of its divisors is an integer number (32565624).

Almost surely, 2^823196448 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 823196448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172362464).

823196448 is an abundant number, since it is smaller than the sum of its proper divisors (1521528480).

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

823196448 is a wasteful number, since it uses less digits than its factorization.

823196448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4595 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 823196448 is about 28691.4002446726. The cubic root of 823196448 is about 937.2047821393.

The spelling of 823196448 in words is "eight hundred twenty-three million, one hundred ninety-six thousand, four hundred forty-eight".