578900448 has 288 divisors, whose sum is σ = 1987614720. Its totient is φ = 156349440.

The previous prime is 578900429. The next prime is 578900453. The reversal of 578900448 is 844009875.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3687186 + ... + 3687342.

It is an arithmetic number, because the mean of its divisors is an integer number (6901440).

Almost surely, 2^578900448 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 578900448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993807360).

578900448 is an abundant number, since it is smaller than the sum of its proper divisors (1408714272).

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

578900448 is a wasteful number, since it uses less digits than its factorization.

578900448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 578900448 is about 24060.3501221408. The cubic root of 578900448 is about 833.4277598955.

The spelling of 578900448 in words is "five hundred seventy-eight million, nine hundred thousand, four hundred forty-eight".