578057312 has 72 divisors (see below), whose sum is σ = 1328325264. Its totient is φ = 246903552.

The previous prime is 578057309. The next prime is 578057317. The reversal of 578057312 is 213750875.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578057317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763238 + ... + 763994.

It is an arithmetic number, because the mean of its divisors is an integer number (18448962).

Almost surely, 2^578057312 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 578057312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664162632).

578057312 is an abundant number, since it is smaller than the sum of its proper divisors (750267952).

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

578057312 is a wasteful number, since it uses less digits than its factorization.

578057312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 578057312 is about 24042.8224632633. The cubic root of 578057312 is about 833.0229497243.

The spelling of 578057312 in words is "five hundred seventy-eight million, fifty-seven thousand, three hundred twelve".