578632320 has 384 divisors, whose sum is σ = 2321879040. Its totient is φ = 130056192.

The previous prime is 578632319. The next prime is 578632337. The reversal of 578632320 is 23236875.

578632320 is a `hidden beast` number, since 578 + 63 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4556097 + ... + 4556223.

It is an arithmetic number, because the mean of its divisors is an integer number (6046560).

Almost surely, 2^578632320 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 578632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160939520).

578632320 is an abundant number, since it is smaller than the sum of its proper divisors (1743246720).

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

578632320 is a wasteful number, since it uses less digits than its factorization.

578632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 578632320 is about 24054.7774880584. Note that the first 3 decimals coincide. The cubic root of 578632320 is about 833.2990677466.

The spelling of 578632320 in words is "five hundred seventy-eight million, six hundred thirty-two thousand, three hundred twenty".