578934320 has 80 divisors (see below), whose sum is σ = 1441514880. Its totient is φ = 215457792.

The previous prime is 578934299. The next prime is 578934329. The reversal of 578934320 is 23439875.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (578934329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 118649 + ... + 123431.

It is an arithmetic number, because the mean of its divisors is an integer number (18018936).

Almost surely, 2^578934320 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 578934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720757440).

578934320 is an abundant number, since it is smaller than the sum of its proper divisors (862580560).

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

578934320 is a wasteful number, since it uses less digits than its factorization.

578934320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 578934320 is about 24061.0540085010. The cubic root of 578934320 is about 833.4440144545. Note that the first 3 decimals are identical.

The spelling of 578934320 in words is "five hundred seventy-eight million, nine hundred thirty-four thousand, three hundred twenty".