579792480 has 192 divisors, whose sum is σ = 1982086848. Its totient is φ = 141885440.

The previous prime is 579792449. The next prime is 579792481. The reversal of 579792480 is 84297975.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579792481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333694 + ... + 335426.

It is an arithmetic number, because the mean of its divisors is an integer number (10323369).

Almost surely, 2^579792480 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 579792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991043424).

579792480 is an abundant number, since it is smaller than the sum of its proper divisors (1402294368).

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

579792480 is a wasteful number, since it uses less digits than its factorization.

579792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 579792480 is about 24078.8803726419. The cubic root of 579792480 is about 833.8556185490.

The spelling of 579792480 in words is "five hundred seventy-nine million, seven hundred ninety-two thousand, four hundred eighty".