234720870400 has 135 divisors (see below), whose sum is σ = 582859953039. Its totient is φ = 93764321280.

The previous prime is 234720870379. The next prime is 234720870403. The reversal of 234720870400 is 4078027432.

The square root of 234720870400 is 484480.

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 124010496 + 234596859904 = 11136^2 + 484352^2 .

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 234720870400.

It is not an unprimeable number, because it can be changed into a prime (234720870403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 310066822 + ... + 310067578.

Almost surely, 2^234720870400 is an apocalyptic number.

234720870400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234720870400 is the 484480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234720870400

234720870400 is an abundant number, since it is smaller than the sum of its proper divisors (348139082639).

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

234720870400 is an frugal number, since it uses more digits than its factorization.

234720870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

Adding to 234720870400 its reverse (4078027432), we get a palindrome (238798897832).

The spelling of 234720870400 in words is "two hundred thirty-four billion, seven hundred twenty million, eight hundred seventy thousand, four hundred".