324649248400 has 135 divisors (see below), whose sum is σ = 806819690313. Its totient is φ = 125533929600.

The previous prime is 324649248383. The next prime is 324649248409. The reversal of 324649248400 is 4842946423.

It is a happy number.

The square root of 324649248400 is 569780.

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

It can be written as a sum of positive squares in only one way, i.e., 116873729424 + 207775518976 = 341868^2 + 455824^2 .

It is not an unprimeable number, because it can be changed into a prime (324649248409) 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, 353263141 + ... + 353264059.

Almost surely, 2^324649248400 is an apocalyptic number.

324649248400 is the 569780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324649248400

324649248400 is an abundant number, since it is smaller than the sum of its proper divisors (482170441913).

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

324649248400 is an frugal number, since it uses more digits than its factorization.

324649248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

It can be divided in two parts, 324649 and 248400, that added together give a square (573049 = 757²).

The spelling of 324649248400 in words is "three hundred twenty-four billion, six hundred forty-nine million, two hundred forty-eight thousand, four hundred".