822632448 has 224 divisors, whose sum is σ = 2547884160. Its totient is φ = 233308160.

The previous prime is 822632443. The next prime is 822632479. The reversal of 822632448 is 844236228.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822632443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4595623 + ... + 4595801.

Almost surely, 2^822632448 is an apocalyptic number.

822632448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273942080).

822632448 is an abundant number, since it is smaller than the sum of its proper divisors (1725251712).

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

822632448 is a wasteful number, since it uses less digits than its factorization.

822632448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 822632448 is about 28681.5698315138. The cubic root of 822632448 is about 936.9906962382.

The spelling of 822632448 in words is "eight hundred twenty-two million, six hundred thirty-two thousand, four hundred forty-eight".