578824704 has 200 divisors, whose sum is σ = 1831493268. Its totient is φ = 181370880.

The previous prime is 578824699. The next prime is 578824747. The reversal of 578824704 is 407428875.

578824704 is a `hidden beast` number, since 578 + 8 + 2 + 4 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 578306304 + 518400 = 24048^2 + 720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 578824704.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704614 + ... + 705434.

Almost surely, 2^578824704 is an apocalyptic number.

578824704 is a gapful number since it is divisible by the number (54) 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 578824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915746634).

578824704 is an abundant number, since it is smaller than the sum of its proper divisors (1252668564).

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

578824704 is an equidigital number, since it uses as much as digits as its factorization.

578824704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 578824704 is about 24058.7760287177. The cubic root of 578824704 is about 833.3914094281.

The spelling of 578824704 in words is "five hundred seventy-eight million, eight hundred twenty-four thousand, seven hundred four".