575284320 has 288 divisors, whose sum is σ = 2146435200. Its totient is φ = 139456512.

The previous prime is 575284319. The next prime is 575284321. The reversal of 575284320 is 23482575.

575284320 is a `hidden beast` number, since 57 + 5 + 284 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (575284319) and next prime (575284321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575284321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478686 + ... + 1479074.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2^575284320 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 575284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

575284320 is an abundant number, since it is smaller than the sum of its proper divisors (1571150880).

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

575284320 is a wasteful number, since it uses less digits than its factorization.

575284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 575284320 is about 23985.0853657017. The cubic root of 575284320 is about 831.6887858467.

The spelling of 575284320 in words is "five hundred seventy-five million, two hundred eighty-four thousand, three hundred twenty".