579947040 has 240 divisors, whose sum is σ = 2078151768. Its totient is φ = 152285184.

The previous prime is 579947033. The next prime is 579947077. The reversal of 579947040 is 40749975.

579947040 is a `hidden beast` number, since 57 + 99 + 470 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285069456 + 294877584 = 16884^2 + 17172^2 .

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 945774 + ... + 946386.

Almost surely, 2^579947040 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 579947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039075884).

579947040 is an abundant number, since it is smaller than the sum of its proper divisors (1498204728).

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

579947040 is a wasteful number, since it uses less digits than its factorization.

579947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 579947040 is about 24082.0896103307. The cubic root of 579947040 is about 833.9297078587.

The spelling of 579947040 in words is "five hundred seventy-nine million, nine hundred forty-seven thousand, forty".