578064240 has 240 divisors, whose sum is σ = 2109656640. Its totient is φ = 141004800.

The previous prime is 578064229. The next prime is 578064247. The reversal of 578064240 is 42460875.

578064240 is a `hidden beast` number, since 5 + 7 + 8 + 0 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 578064195 and 578064204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578064247) 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, 1413156 + ... + 1413564.

It is an arithmetic number, because the mean of its divisors is an integer number (8790236).

Almost surely, 2^578064240 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 578064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054828320).

578064240 is an abundant number, since it is smaller than the sum of its proper divisors (1531592400).

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

578064240 is a wasteful number, since it uses less digits than its factorization.

578064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 578064240 is about 24042.9665390941. The cubic root of 578064240 is about 833.0262776296.

The spelling of 578064240 in words is "five hundred seventy-eight million, sixty-four thousand, two hundred forty".