324454400 has 72 divisors (see below), whose sum is σ = 804577410. Its totient is φ = 129761280.

The previous prime is 324454379. The next prime is 324454409. The reversal of 324454400 is 4454423.

It can be written as a sum of positive squares in 3 ways, for example, as 217621504 + 106832896 = 14752^2 + 10336^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 324454400.

It is not an unprimeable number, because it can be changed into a prime (324454409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48032 + ... + 54368.

Almost surely, 2^324454400 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 324454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402288705).

324454400 is an abundant number, since it is smaller than the sum of its proper divisors (480123010).

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

324454400 is an equidigital number, since it uses as much as digits as its factorization.

324454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6344 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 324454400 is about 18012.6177997536. The cubic root of 324454400 is about 687.1494808237.

The spelling of 324454400 in words is "three hundred twenty-four million, four hundred fifty-four thousand, four hundred".