558381672 has 192 divisors, whose sum is σ = 1662336000. Its totient is φ = 168791040.

The previous prime is 558381661. The next prime is 558381697. The reversal of 558381672 is 276183855.

558381672 is a `hidden beast` number, since 5 + 583 + 8 + 1 + 67 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (403200) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

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, 3747454 + ... + 3747602.

It is an arithmetic number, because the mean of its divisors is an integer number (8658000).

Almost surely, 2^558381672 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 558381672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831168000).

558381672 is an abundant number, since it is smaller than the sum of its proper divisors (1103954328).

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

558381672 is a wasteful number, since it uses less digits than its factorization.

558381672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 558381672 is about 23630.1009731232. The cubic root of 558381672 is about 823.4622949039.

The spelling of 558381672 in words is "five hundred fifty-eight million, three hundred eighty-one thousand, six hundred seventy-two".