1253788800 has 384 divisors, whose sum is σ = 4662558720. Its totient is φ = 293376000.

The previous prime is 1253788799. The next prime is 1253788843. The reversal of 1253788800 is 88873521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 3273409 + ... + 3273791.

It is an arithmetic number, because the mean of its divisors is an integer number (12142080).

Almost surely, 2^1253788800 is an apocalyptic number.

1253788800 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 1253788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331279360).

1253788800 is an abundant number, since it is smaller than the sum of its proper divisors (3408769920).

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

1253788800 is a wasteful number, since it uses less digits than its factorization.

1253788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 1253788800 is about 35408.8802421088. The cubic root of 1253788800 is about 1078.3046101938.

The spelling of 1253788800 in words is "one billion, two hundred fifty-three million, seven hundred eighty-eight thousand, eight hundred".