558051840 has 240 divisors, whose sum is σ = 1973465208. Its totient is φ = 145686528.

The previous prime is 558051817. The next prime is 558051859. The reversal of 558051840 is 48150855.

It can be written as a sum of positive squares in 4 ways, for example, as 546437376 + 11614464 = 23376^2 + 3408^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×558051840² = 622843712254771200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 558051795 and 558051804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220892 + ... + 1221348.

Almost surely, 2^558051840 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 558051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986732604).

558051840 is an abundant number, since it is smaller than the sum of its proper divisors (1415413368).

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

558051840 is a wasteful number, since it uses less digits than its factorization.

558051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 558051840 is about 23623.1208776487. The cubic root of 558051840 is about 823.3001252357.

The spelling of 558051840 in words is "five hundred fifty-eight million, fifty-one thousand, eight hundred forty".