578064400 has 30 divisors (see below), whose sum is σ = 1388800682. Its totient is φ = 231225600.

The previous prime is 578064367. The next prime is 578064439. The reversal of 578064400 is 4460875.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 571592464 = 2544^2 + 23908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 722181 + ... + 722980.

Almost surely, 2^578064400 is an apocalyptic number.

578064400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

578064400 is an abundant number, since it is smaller than the sum of its proper divisors (810736282).

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

578064400 is a wasteful number, since it uses less digits than its factorization.

578064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445179 (or 1445168 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 578064400 is about 24042.9698664703. The cubic root of 578064400 is about 833.0263544862.

The spelling of 578064400 in words is "five hundred seventy-eight million, sixty-four thousand, four hundred".