577968385 has 8 divisors (see below), whose sum is σ = 693735336. Its totient is φ = 462259200.

The previous prime is 577968361. The next prime is 577968421. The reversal of 577968385 is 583869775.

It can be written as a sum of positive squares in 4 ways, for example, as 200987329 + 376981056 = 14177^2 + 19416^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 577968385 - 2¹⁹ = 577444097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11967 + ... + 36043.

It is an arithmetic number, because the mean of its divisors is an integer number (86716917).

Almost surely, 2^577968385 is an apocalyptic number.

It is an amenable number.

577968385 is a deficient number, since it is larger than the sum of its proper divisors (115766951).

577968385 is a wasteful number, since it uses less digits than its factorization.

577968385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28883.

The product of its digits is 12700800, while the sum is 58.

The square root of 577968385 is about 24040.9730460312. The cubic root of 577968385 is about 832.9802307590.

The spelling of 577968385 in words is "five hundred seventy-seven million, nine hundred sixty-eight thousand, three hundred eighty-five".