1025236800 has 378 divisors, whose sum is σ = 4241778918. Its totient is φ = 234178560.

The previous prime is 1025236777. The next prime is 1025236819. The reversal of 1025236800 is 86325201.

It can be written as a sum of positive squares in 3 ways, for example, as 293642496 + 731594304 = 17136^2 + 27048^2 .

It is a super-2 number, since 2×1025236800² = 2102220992148480000, 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 (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 704874 + ... + 706326.

Almost surely, 2^1025236800 is an apocalyptic number.

1025236800 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 1025236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120889459).

1025236800 is an abundant number, since it is smaller than the sum of its proper divisors (3216542118).

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

1025236800 is a wasteful number, since it uses less digits than its factorization.

1025236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1025236800 is about 32019.3191682771. The cubic root of 1025236800 is about 1008.3424762203.

The spelling of 1025236800 in words is "one billion, twenty-five million, two hundred thirty-six thousand, eight hundred".