575735040 has 252 divisors, whose sum is σ = 2071003284. Its totient is φ = 153280512.

The previous prime is 575735029. The next prime is 575735053. The reversal of 575735040 is 40537575.

It can be written as a sum of positive squares in 2 ways, for example, as 90326016 + 485409024 = 9504^2 + 22032^2 .

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 = 575734986 and 575735004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 932812 + ... + 933428.

It is an arithmetic number, because the mean of its divisors is an integer number (8218267).

Almost surely, 2^575735040 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 575735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035501642).

575735040 is an abundant number, since it is smaller than the sum of its proper divisors (1495268244).

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

575735040 is an frugal number, since it uses more digits than its factorization.

575735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 575735040 is about 23994.4793650540. The cubic root of 575735040 is about 831.9059311792.

The spelling of 575735040 in words is "five hundred seventy-five million, seven hundred thirty-five thousand, forty".