576608256 has 288 divisors, whose sum is σ = 1967565600. Its totient is φ = 159252480.

The previous prime is 576608243. The next prime is 576608269. The reversal of 576608256 is 652806675.

It is an interprime number because it is at equal distance from previous prime (576608243) and next prime (576608269).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5289930 + ... + 5290038.

It is an arithmetic number, because the mean of its divisors is an integer number (6831825).

Almost surely, 2^576608256 is an apocalyptic number.

576608256 is a gapful number since it is divisible by the number (56) 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 576608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983782800).

576608256 is an abundant number, since it is smaller than the sum of its proper divisors (1390957344).

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

576608256 is a wasteful number, since it uses less digits than its factorization.

576608256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 576608256 is about 24012.6686563572. The cubic root of 576608256 is about 832.3263019912.

The spelling of 576608256 in words is "five hundred seventy-six million, six hundred eight thousand, two hundred fifty-six".