575085240 has 192 divisors, whose sum is σ = 1925539200. Its totient is φ = 148801536.

The previous prime is 575085239. The next prime is 575085253. The reversal of 575085240 is 42580575.

It is a happy number.

575085240 is a `hidden beast` number, since 575 + 0 + 85 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 575085195 and 575085204.

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 47 ways as a sum of consecutive naturals, for example, 2075982 + ... + 2076258.

It is an arithmetic number, because the mean of its divisors is an integer number (10028850).

Almost surely, 2^575085240 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 575085240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962769600).

575085240 is an abundant number, since it is smaller than the sum of its proper divisors (1350453960).

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

575085240 is a wasteful number, since it uses less digits than its factorization.

575085240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 575085240 is about 23980.9349275628. The cubic root of 575085240 is about 831.5928380980.

The spelling of 575085240 in words is "five hundred seventy-five million, eighty-five thousand, two hundred forty".