575140224400 has 135 divisors (see below), whose sum is σ = 1607666989539. Its totient is φ = 197154531840.

The previous prime is 575140224389. The next prime is 575140224437. The reversal of 575140224400 is 4422041575.

The square root of 575140224400 is 758380.

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 204054572176 + 371085652224 = 451724^2 + 609168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106170492 + ... + 106175908.

Almost surely, 2^575140224400 is an apocalyptic number.

575140224400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

575140224400 is the 758380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575140224400

575140224400 is an abundant number, since it is smaller than the sum of its proper divisors (1032526765139).

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

575140224400 is an frugal number, since it uses more digits than its factorization.

575140224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10866 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 34.

Adding to 575140224400 its reverse (4422041575), we get a palindrome (579562265975).

The spelling of 575140224400 in words is "five hundred seventy-five billion, one hundred forty million, two hundred twenty-four thousand, four hundred".