659580480 has 336 divisors, whose sum is σ = 2485217280. Its totient is φ = 159584256.

The previous prime is 659580479. The next prime is 659580487. The reversal of 659580480 is 84085956.

659580480 is a `hidden beast` number, since 6 + 5 + 95 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (659580487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2957649 + ... + 2957871.

It is an arithmetic number, because the mean of its divisors is an integer number (7396480).

Almost surely, 2^659580480 is an apocalyptic number.

659580480 is a gapful number since it is divisible by the number (60) 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 659580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242608640).

659580480 is an abundant number, since it is smaller than the sum of its proper divisors (1825636800).

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

659580480 is a wasteful number, since it uses less digits than its factorization.

659580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 659580480 is about 25682.2989625150. The cubic root of 659580480 is about 870.4742558927.

The spelling of 659580480 in words is "six hundred fifty-nine million, five hundred eighty thousand, four hundred eighty".