580170240 has 360 divisors, whose sum is σ = 2190345300. Its totient is φ = 141852672.

The previous prime is 580170223. The next prime is 580170247. The reversal of 580170240 is 42071085.

It can be written as a sum of positive squares in 6 ways, for example, as 6471936 + 573698304 = 2544^2 + 23952^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (580170247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893686 + ... + 3893834.

Almost surely, 2^580170240 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 580170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095172650).

580170240 is an abundant number, since it is smaller than the sum of its proper divisors (1610175060).

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

580170240 is a wasteful number, since it uses less digits than its factorization.

580170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 580170240 is about 24086.7233138922. The cubic root of 580170240 is about 834.0366769578.

It can be divided in two parts, 580 and 170240, that added together give a triangular number (170820 = T₅₈₄).

The spelling of 580170240 in words is "five hundred eighty million, one hundred seventy thousand, two hundred forty".