558247680 has 288 divisors, whose sum is σ = 2052993600. Its totient is φ = 143474688.

The previous prime is 558247673. The next prime is 558247691. The reversal of 558247680 is 86742855.

558247680 is a `hidden beast` number, since 5 + 582 + 4 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001962 + ... + 1002518.

It is an arithmetic number, because the mean of its divisors is an integer number (7128450).

Almost surely, 2^558247680 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 558247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026496800).

558247680 is an abundant number, since it is smaller than the sum of its proper divisors (1494745920).

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

558247680 is a wasteful number, since it uses less digits than its factorization.

558247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 558247680 is about 23627.2656056515. The cubic root of 558247680 is about 823.3964222866.

It can be divided in two parts, 55824 and 7680, that added together give a square (63504 = 252²).

The spelling of 558247680 in words is "five hundred fifty-eight million, two hundred forty-seven thousand, six hundred eighty".