578410560 has 336 divisors, whose sum is σ = 2449714176. Its totient is φ = 121982976.

The previous prime is 578410519. The next prime is 578410561. The reversal of 578410560 is 65014875.

578410560 is a `hidden beast` number, since 5 + 7 + 84 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (578410561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260977 + ... + 263183.

It is an arithmetic number, because the mean of its divisors is an integer number (7290816).

Almost surely, 2^578410560 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 578410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224857088).

578410560 is an abundant number, since it is smaller than the sum of its proper divisors (1871303616).

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

578410560 is a wasteful number, since it uses less digits than its factorization.

578410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 578410560 is about 24050.1675669838. The cubic root of 578410560 is about 833.1926005900.

The spelling of 578410560 in words is "five hundred seventy-eight million, four hundred ten thousand, five hundred sixty".