578208960 has 672 divisors, whose sum is σ = 2510576640. Its totient is φ = 119218176.

The previous prime is 578208929. The next prime is 578208977. The reversal of 578208960 is 69802875.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13446699 + ... + 13446741.

Almost surely, 2^578208960 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 578208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255288320).

578208960 is an abundant number, since it is smaller than the sum of its proper divisors (1932367680).

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

578208960 is a wasteful number, since it uses less digits than its factorization.

578208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 578208960 is about 24045.9759627261. The cubic root of 578208960 is about 833.0957886490.

The spelling of 578208960 in words is "five hundred seventy-eight million, two hundred eight thousand, nine hundred sixty".