579669480 has 512 divisors, whose sum is σ = 2286144000. Its totient is φ = 129392640.

The previous prime is 579669473. The next prime is 579669523. The reversal of 579669480 is 84966975.

579669480 is a `hidden beast` number, since 579 + 6 + 69 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 10937134 + ... + 10937186.

It is an arithmetic number, because the mean of its divisors is an integer number (4465125).

Almost surely, 2^579669480 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 579669480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072000).

579669480 is an abundant number, since it is smaller than the sum of its proper divisors (1706474520).

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

579669480 is a wasteful number, since it uses less digits than its factorization.

579669480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 579669480 is about 24076.3261317004. The cubic root of 579669480 is about 833.7966483149.

The spelling of 579669480 in words is "five hundred seventy-nine million, six hundred sixty-nine thousand, four hundred eighty".