579434960 has 160 divisors (see below), whose sum is σ = 1511903232. Its totient is φ = 205148160.

The previous prime is 579434939. The next prime is 579434969. The reversal of 579434960 is 69434975.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579434969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4562417 + ... + 4562543.

Almost surely, 2^579434960 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 579434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755951616).

579434960 is an abundant number, since it is smaller than the sum of its proper divisors (932468272).

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

579434960 is a wasteful number, since it uses less digits than its factorization.

579434960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 47.

The square root of 579434960 is about 24071.4552946015. The cubic root of 579434960 is about 833.6841886155.

The spelling of 579434960 in words is "five hundred seventy-nine million, four hundred thirty-four thousand, nine hundred sixty".