333322400 has 72 divisors (see below), whose sum is σ = 861624540. Its totient is φ = 125480960.

The previous prime is 333322399. The next prime is 333322403. The reversal of 333322400 is 4223333.

333322400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 248755984 + 84566416 = 15772^2 + 9196^2 .

It is a super-2 number, since 2×333322400² = 222207644683520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (333322403) 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 11 ways as a sum of consecutive naturals, for example, 1346 + ... + 25854.

Almost surely, 2^333322400 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 333322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430812270).

333322400 is an abundant number, since it is smaller than the sum of its proper divisors (528302140).

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

333322400 is a wasteful number, since it uses less digits than its factorization.

333322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24546 (or 24533 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 333322400 is about 18257.1191593855. The cubic root of 333322400 is about 693.3536935178.

Adding to 333322400 its reverse (4223333), we get a palindrome (337545733).

The spelling of 333322400 in words is "three hundred thirty-three million, three hundred twenty-two thousand, four hundred".