20243598400 has 63 divisors (see below), whose sum is σ = 49825912159. Its totient is φ = 8095162880.

The previous prime is 20243598377. The next prime is 20243598407. The reversal of 20243598400 is 489534202.

It is a happy number.

The square root of 20243598400 is 142280.

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 5889641536 + 14353956864 = 76744^2 + 119808^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20243598400.

It is not an unprimeable number, because it can be changed into a prime (20243598407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5689422 + ... + 5692978.

Almost surely, 2^20243598400 is an apocalyptic number.

20243598400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20243598400 is the 142280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20243598400

20243598400 is an abundant number, since it is smaller than the sum of its proper divisors (29582313759).

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

20243598400 is an frugal number, since it uses more digits than its factorization.

20243598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 20243598400 in words is "twenty billion, two hundred forty-three million, five hundred ninety-eight thousand, four hundred".