577489968 has 120 divisors (see below), whose sum is σ = 1773167760. Its totient is φ = 173998080.

The previous prime is 577489967. The next prime is 577490029. The reversal of 577489968 is 869984775.

It is not an unprimeable number, because it can be changed into a prime (577489967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 304768 + ... + 306656.

It is an arithmetic number, because the mean of its divisors is an integer number (14776398).

Almost surely, 2^577489968 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 577489968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886583880).

577489968 is an abundant number, since it is smaller than the sum of its proper divisors (1195677792).

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

577489968 is a wasteful number, since it uses less digits than its factorization.

577489968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 577489968 is about 24031.0209520944. The cubic root of 577489968 is about 832.7503324226.

It can be divided in two parts, 577 and 489968, that added together give a triangular number (490545 = T₉₉₀).

The spelling of 577489968 in words is "five hundred seventy-seven million, four hundred eighty-nine thousand, nine hundred sixty-eight".