324720400 has 135 divisors (see below), whose sum is σ = 844662301. Its totient is φ = 119941120.

The previous prime is 324720373. The next prime is 324720413. The reversal of 324720400 is 4027423.

324720400 = T₄₉ + T₅₀ + ... + T₁₂₄₈.

The square root of 324720400 is 18020.

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

It can be written as a sum of positive squares in 13 ways, for example, as 49956624 + 274763776 = 7068^2 + 16576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6126774 + ... + 6126826.

Almost surely, 2^324720400 is an apocalyptic number.

324720400 is the 18020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324720400

324720400 is an abundant number, since it is smaller than the sum of its proper divisors (519941901).

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

324720400 is a wasteful number, since it uses less digits than its factorization.

324720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The cubic root of 324720400 is about 687.3372132489.

Adding to 324720400 its reverse (4027423), we get a palindrome (328747823).

The spelling of 324720400 in words is "three hundred twenty-four million, seven hundred twenty thousand, four hundred".