1025443200 has 192 divisors, whose sum is σ = 3399782400. Its totient is φ = 271656960.

The previous prime is 1025443193. The next prime is 1025443249. The reversal of 1025443200 is 23445201.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 2140561 + ... + 2141039.

It is an arithmetic number, because the mean of its divisors is an integer number (17707200).

Almost surely, 2^1025443200 is an apocalyptic number.

1025443200 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 1025443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699891200).

1025443200 is an abundant number, since it is smaller than the sum of its proper divisors (2374339200).

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

1025443200 is a wasteful number, since it uses less digits than its factorization.

1025443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1025443200 is about 32022.5420602425. The cubic root of 1025443200 is about 1008.4101379619.

Adding to 1025443200 its reverse (23445201), we get a palindrome (1048888401).

The spelling of 1025443200 in words is "one billion, twenty-five million, four hundred forty-three thousand, two hundred".