575253360 has 480 divisors, whose sum is σ = 2279854080. Its totient is φ = 133056000.

The previous prime is 575253353. The next prime is 575253373. The reversal of 575253360 is 63352575.

575253360 is a `hidden beast` number, since 575 + 2 + 53 + 36 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8102125 + ... + 8102195.

It is an arithmetic number, because the mean of its divisors is an integer number (4749696).

Almost surely, 2^575253360 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 575253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

575253360 is an abundant number, since it is smaller than the sum of its proper divisors (1704600720).

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

575253360 is a wasteful number, since it uses less digits than its factorization.

575253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 94500, while the sum is 36.

The square root of 575253360 is about 23984.4399559381. The cubic root of 575253360 is about 831.6738659507.

The spelling of 575253360 in words is "five hundred seventy-five million, two hundred fifty-three thousand, three hundred sixty".