579810972 has 48 divisors (see below), whose sum is σ = 1461227040. Its totient is φ = 177881088.

The previous prime is 579810967. The next prime is 579811009. The reversal of 579810972 is 279018975.

579810972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49804 + ... + 60332.

It is an arithmetic number, because the mean of its divisors is an integer number (30442230).

Almost surely, 2^579810972 is an apocalyptic number.

579810972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 579810972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730613520).

579810972 is an abundant number, since it is smaller than the sum of its proper divisors (881416068).

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

579810972 is a wasteful number, since it uses less digits than its factorization.

579810972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The square root of 579810972 is about 24079.2643575338. The cubic root of 579810972 is about 833.8644834990.

The spelling of 579810972 in words is "five hundred seventy-nine million, eight hundred ten thousand, nine hundred seventy-two".