579404979252 has 480 divisors, whose sum is σ = 1785143162880. Its totient is φ = 161993364480.

The previous prime is 579404979203. The next prime is 579404979253. The reversal of 579404979252 is 252979404975.

579404979252 is a `hidden beast` number, since 5 + 7 + 9 + 4 + 0 + 497 + 92 + 52 = 666.

579404979252 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 579404979252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579404979253) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 977073868 + ... + 977074460.

It is an arithmetic number, because the mean of its divisors is an integer number (3719048256).

Almost surely, 2^579404979252 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 579404979252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892571581440).

579404979252 is an abundant number, since it is smaller than the sum of its proper divisors (1205738183628).

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

579404979252 is a wasteful number, since it uses less digits than its factorization.

579404979252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 579404979252 in words is "five hundred seventy-nine billion, four hundred four million, nine hundred seventy-nine thousand, two hundred fifty-two".