575240960 has 288 divisors, whose sum is σ = 1726771200. Its totient is φ = 179159040.

The previous prime is 575240957. The next prime is 575240969. The reversal of 575240960 is 69042575.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575240969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5277386 + ... + 5277494.

Almost surely, 2^575240960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863385600).

575240960 is an abundant number, since it is smaller than the sum of its proper divisors (1151530240).

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

575240960 is a wasteful number, since it uses less digits than its factorization.

575240960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 575240960 is about 23984.1814536165. The cubic root of 575240960 is about 831.6678901316.

The spelling of 575240960 in words is "five hundred seventy-five million, two hundred forty thousand, nine hundred sixty".