822494400 has 504 divisors, whose sum is σ = 3393064080. Its totient is φ = 172892160.

The previous prime is 822494389. The next prime is 822494429. The reversal of 822494400 is 4494228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3057466 + ... + 3057734.

It is an arithmetic number, because the mean of its divisors is an integer number (6732270).

Almost surely, 2^822494400 is an apocalyptic number.

822494400 is a gapful number since it is divisible by the number (80) 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 822494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696532040).

822494400 is an abundant number, since it is smaller than the sum of its proper divisors (2570569680).

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

822494400 is a wasteful number, since it uses less digits than its factorization.

822494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 822494400 is about 28679.1631677077. The cubic root of 822494400 is about 936.9382803919.

The spelling of 822494400 in words is "eight hundred twenty-two million, four hundred ninety-four thousand, four hundred".