1058543200 has 288 divisors, whose sum is σ = 3202295040. Its totient is φ = 335923200.

The previous prime is 1058543173. The next prime is 1058543243. The reversal of 1058543200 is 23458501.

1058543200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1058543200² = 2241027412532480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2173357 + ... + 2173843.

It is an arithmetic number, because the mean of its divisors is an integer number (11119080).

Almost surely, 2^1058543200 is an apocalyptic number.

1058543200 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 1058543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601147520).

1058543200 is an abundant number, since it is smaller than the sum of its proper divisors (2143751840).

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

1058543200 is a wasteful number, since it uses less digits than its factorization.

1058543200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1058543200 is about 32535.2608718602. The cubic root of 1058543200 is about 1019.1455101743.

The spelling of 1058543200 in words is "one billion, fifty-eight million, five hundred forty-three thousand, two hundred".