323280400 has 135 divisors (see below), whose sum is σ = 831171783. Its totient is φ = 120825600.

The previous prime is 323280379. The next prime is 323280409. The reversal of 323280400 is 4082323.

The square root of 323280400 is 17980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4443664 + 318836736 = 2108^2 + 17856^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (323280409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10428385 + ... + 10428415.

Almost surely, 2^323280400 is an apocalyptic number.

323280400 is the 17980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323280400

323280400 is an abundant number, since it is smaller than the sum of its proper divisors (507891383).

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

323280400 is a wasteful number, since it uses less digits than its factorization.

323280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The cubic root of 323280400 is about 686.3196893847.

The spelling of 323280400 in words is "three hundred twenty-three million, two hundred eighty thousand, four hundred".