1253044800 has 504 divisors, whose sum is σ = 5267139072. Its totient is φ = 276480000.

The previous prime is 1253044759. The next prime is 1253044817. The reversal of 1253044800 is 84403521.

1253044800 is a `hidden beast` number, since 12 + 530 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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, 3124600 + ... + 3125000.

Almost surely, 2^1253044800 is an apocalyptic number.

1253044800 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 1253044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633569536).

1253044800 is an abundant number, since it is smaller than the sum of its proper divisors (4014094272).

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

1253044800 is a wasteful number, since it uses less digits than its factorization.

1253044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1253044800 is about 35398.3728439599. The cubic root of 1253044800 is about 1078.0912788445.

The spelling of 1253044800 in words is "one billion, two hundred fifty-three million, forty-four thousand, eight hundred".