1287158400 has 576 divisors, whose sum is σ = 5327337600. Its totient is φ = 292454400.

The previous prime is 1287158393. The next prime is 1287158413. The reversal of 1287158400 is 48517821.

1287158400 is a `hidden beast` number, since 1 + 2 + 8 + 71 + 584 + 0 + 0 = 666.

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

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5385481 + ... + 5385719.

It is an arithmetic number, because the mean of its divisors is an integer number (9248850).

Almost surely, 2^1287158400 is an apocalyptic number.

1287158400 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 1287158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663668800).

1287158400 is an abundant number, since it is smaller than the sum of its proper divisors (4040179200).

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

1287158400 is a wasteful number, since it uses less digits than its factorization.

1287158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1287158400 is about 35876.9898402862. The cubic root of 1287158400 is about 1087.7873358857.

The spelling of 1287158400 in words is "one billion, two hundred eighty-seven million, one hundred fifty-eight thousand, four hundred".