322286400 has 126 divisors (see below), whose sum is σ = 1145533142. Its totient is φ = 85939200.

The previous prime is 322286381. The next prime is 322286407. The reversal of 322286400 is 4682223.

322286400 is a `hidden beast` number, since 32 + 228 + 6 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28643904 + 293642496 = 5352^2 + 17136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322286407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3210 + ... + 25590.

Almost surely, 2^322286400 is an apocalyptic number.

322286400 is a gapful number since it is divisible by the number (30) 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 322286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572766571).

322286400 is an abundant number, since it is smaller than the sum of its proper divisors (823246742).

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

322286400 is a wasteful number, since it uses less digits than its factorization.

322286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22409 (or 22391 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 322286400 is about 17952.3368952346. The cubic root of 322286400 is about 685.6155512603.

The spelling of 322286400 in words is "three hundred twenty-two million, two hundred eighty-six thousand, four hundred".