324022400 has 96 divisors (see below), whose sum is σ = 862119300. Its totient is φ = 119623680.

The previous prime is 324022393. The next prime is 324022411. The reversal of 324022400 is 4220423.

It can be written as a sum of positive squares in 6 ways, for example, as 72863296 + 251159104 = 8536^2 + 15848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37706 + ... + 45494.

Almost surely, 2^324022400 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 324022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431059650).

324022400 is an abundant number, since it is smaller than the sum of its proper divisors (538096900).

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

324022400 is a wasteful number, since it uses less digits than its factorization.

324022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826 (or 7809 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 324022400 is about 18000.6222114681. The cubic root of 324022400 is about 686.8443733148.

Adding to 324022400 its reverse (4220423), we get a palindrome (328242823).

The spelling of 324022400 in words is "three hundred twenty-four million, twenty-two thousand, four hundred".