1255363200 has 576 divisors, whose sum is σ = 5524646400. Its totient is φ = 264314880.

The previous prime is 1255363183. The next prime is 1255363267. The reversal of 1255363200 is 23635521.

1255363200 is a `hidden beast` number, since 1 + 25 + 5 + 3 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620561 + ... + 2621039.

It is an arithmetic number, because the mean of its divisors is an integer number (9591400).

Almost surely, 2^1255363200 is an apocalyptic number.

1255363200 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 1255363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762323200).

1255363200 is an abundant number, since it is smaller than the sum of its proper divisors (4269283200).

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

1255363200 is a wasteful number, since it uses less digits than its factorization.

1255363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1255363200 is about 35431.1049785355. The cubic root of 1255363200 is about 1078.7557687601.

Adding to 1255363200 its reverse (23635521), we get a palindrome (1278998721).

The spelling of 1255363200 in words is "one billion, two hundred fifty-five million, three hundred sixty-three thousand, two hundred".