586428240 has 240 divisors, whose sum is σ = 1974873600. Its totient is φ = 143784960.

The previous prime is 586428239. The next prime is 586428257. The reversal of 586428240 is 42824685.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3935686 + ... + 3935834.

It is an arithmetic number, because the mean of its divisors is an integer number (8228640).

Almost surely, 2^586428240 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 586428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987436800).

586428240 is an abundant number, since it is smaller than the sum of its proper divisors (1388445360).

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

586428240 is a wasteful number, since it uses less digits than its factorization.

586428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 586428240 is about 24216.2804740943. The cubic root of 586428240 is about 837.0247348768.

The spelling of 586428240 in words is "five hundred eighty-six million, four hundred twenty-eight thousand, two hundred forty".