239140560400 has 225 divisors, whose sum is σ = 671597061261. Its totient is φ = 81826738560.

The previous prime is 239140560389. The next prime is 239140560401. The reversal of 239140560400 is 4065041932.

It is a happy number.

The square root of 239140560400 is 489020.

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., 86090601744 + 153049958656 = 293412^2 + 391216^2 .

It is not an unprimeable number, because it can be changed into a prime (239140560401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 479239351 + ... + 479239849.

Almost surely, 2^239140560400 is an apocalyptic number.

239140560400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

239140560400 is the 489020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239140560400

239140560400 is an abundant number, since it is smaller than the sum of its proper divisors (432456500861).

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

239140560400 is an frugal number, since it uses more digits than its factorization.

239140560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 239140560400 in words is "two hundred thirty-nine billion, one hundred forty million, five hundred sixty thousand, four hundred".