1252944000 has 768 divisors, whose sum is σ = 5659580160. Its totient is φ = 258048000.

The previous prime is 1252943983. The next prime is 1252944031. The reversal of 1252944000 is 4492521.

1252944000 is a `hidden beast` number, since 1 + 252 + 9 + 4 + 400 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087944 + ... + 11088056.

It is an arithmetic number, because the mean of its divisors is an integer number (7369245).

Almost surely, 2^1252944000 is an apocalyptic number.

1252944000 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 1252944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2829790080).

1252944000 is an abundant number, since it is smaller than the sum of its proper divisors (4406636160).

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

1252944000 is a wasteful number, since it uses less digits than its factorization.

1252944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 141 counting only the distinct ones).

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

The square root of 1252944000 is about 35396.9490210668. The cubic root of 1252944000 is about 1078.0623693926.

The spelling of 1252944000 in words is "one billion, two hundred fifty-two million, nine hundred forty-four thousand".