822394944 has 280 divisors, whose sum is σ = 2823594048. Its totient is φ = 231828480.

The previous prime is 822394927. The next prime is 822394961. The reversal of 822394944 is 449493228.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (822394927) and next prime (822394961).

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

It is a self number, because there is not a number n which added to its sum of digits gives 822394944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4753642 + ... + 4753814.

Almost surely, 2^822394944 is an apocalyptic number.

822394944 is a gapful number since it is divisible by the number (84) 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 822394944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411797024).

822394944 is an abundant number, since it is smaller than the sum of its proper divisors (2001199104).

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

822394944 is a wasteful number, since it uses less digits than its factorization.

822394944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 316 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 822394944 is about 28677.4291734807. The cubic root of 822394944 is about 936.9005140194.

The spelling of 822394944 in words is "eight hundred twenty-two million, three hundred ninety-four thousand, nine hundred forty-four".