1058430240 has 288 divisors, whose sum is σ = 4281863040. Its totient is φ = 241864704.

The previous prime is 1058430239. The next prime is 1058430257. The reversal of 1058430240 is 420348501.

1058430240 is a `hidden beast` number, since 10 + 584 + 30 + 2 + 40 = 666.

1058430240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1058430240² = 2240549145892915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270216 + ... + 274104.

It is an arithmetic number, because the mean of its divisors is an integer number (14867580).

Almost surely, 2^1058430240 is an apocalyptic number.

1058430240 is a gapful number since it is divisible by the number (10) 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 1058430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140931520).

1058430240 is an abundant number, since it is smaller than the sum of its proper divisors (3223432800).

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

1058430240 is an equidigital number, since it uses as much as digits as its factorization.

1058430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1058430240 is about 32533.5248628242. The cubic root of 1058430240 is about 1019.1092569627.

Adding to 1058430240 its reverse (420348501), we get a palindrome (1478778741).

The spelling of 1058430240 in words is "one billion, fifty-eight million, four hundred thirty thousand, two hundred forty".