1287244800 has 396 divisors, whose sum is σ = 4764859216. Its totient is φ = 331776000.

The previous prime is 1287244781. The next prime is 1287244801. The reversal of 1287244800 is 84427821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1287244801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8524725 + ... + 8524875.

Almost surely, 2^1287244800 is an apocalyptic number.

1287244800 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 1287244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382429608).

1287244800 is an abundant number, since it is smaller than the sum of its proper divisors (3477614416).

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

1287244800 is a wasteful number, since it uses less digits than its factorization.

1287244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1287244800 is about 35878.1939344778. The cubic root of 1287244800 is about 1087.8116744397.

The spelling of 1287244800 in words is "one billion, two hundred eighty-seven million, two hundred forty-four thousand, eight hundred".