575927352 has 384 divisors, whose sum is σ = 2144862720. Its totient is φ = 134784000.

The previous prime is 575927329. The next prime is 575927353. The reversal of 575927352 is 253729575.

575927352 is a `hidden beast` number, since 5 + 7 + 592 + 7 + 3 + 52 = 666.

It is a super-3 number, since 3×575927352³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 575927298 and 575927307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575927353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4396327 + ... + 4396457.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2^575927352 is an apocalyptic number.

575927352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575927352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

575927352 is an abundant number, since it is smaller than the sum of its proper divisors (1568935368).

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

575927352 is a wasteful number, since it uses less digits than its factorization.

575927352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its digits is 661500, while the sum is 45.

The square root of 575927352 is about 23998.4864522744. The cubic root of 575927352 is about 831.9985476737.

The spelling of 575927352 in words is "five hundred seventy-five million, nine hundred twenty-seven thousand, three hundred fifty-two".