578578400 has 72 divisors (see below), whose sum is σ = 1423033920. Its totient is φ = 229698560.

The previous prime is 578578397. The next prime is 578578411. The reversal of 578578400 is 4875875.

578578400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106961 + ... + 112239.

It is an arithmetic number, because the mean of its divisors is an integer number (19764360).

Almost surely, 2^578578400 is an apocalyptic number.

578578400 is a gapful number since it is divisible by the number (50) 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 578578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711516960).

578578400 is an abundant number, since it is smaller than the sum of its proper divisors (844455520).

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

578578400 is a wasteful number, since it uses less digits than its factorization.

578578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 44.

The square root of 578578400 is about 24053.6566866662. The cubic root of 578578400 is about 833.2731832140.

The spelling of 578578400 in words is "five hundred seventy-eight million, five hundred seventy-eight thousand, four hundred".