558085248 has 512 divisors, whose sum is σ = 2115072000. Its totient is φ = 141115392.

The previous prime is 558085247. The next prime is 558085249. The reversal of 558085248 is 842580855.

558085248 is a `hidden beast` number, since 558 + 0 + 8 + 52 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (558085247) and next prime (558085249).

It is a super-2 number, since 2×558085248² = 622918288070443008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558085243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9459043 + ... + 9459101.

It is an arithmetic number, because the mean of its divisors is an integer number (4131000).

Almost surely, 2^558085248 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 558085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057536000).

558085248 is an abundant number, since it is smaller than the sum of its proper divisors (1556986752).

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

558085248 is a wasteful number, since it uses less digits than its factorization.

558085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The square root of 558085248 is about 23623.8279709280. The cubic root of 558085248 is about 823.3165539733.

The spelling of 558085248 in words is "five hundred fifty-eight million, eighty-five thousand, two hundred forty-eight".