1287484800 has 768 divisors, whose sum is σ = 5463936000. Its totient is φ = 264929280.

The previous prime is 1287484799. The next prime is 1287484813. The reversal of 1287484800 is 84847821.

It is a super-2 number, since 2×1287484800² = 3315234220462080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 55977589 + ... + 55977611.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^1287484800 is an apocalyptic number.

1287484800 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 1287484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731968000).

1287484800 is an abundant number, since it is smaller than the sum of its proper divisors (4176451200).

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

1287484800 is a wasteful number, since it uses less digits than its factorization.

1287484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 1287484800 is about 35881.5384285568. The cubic root of 1287484800 is about 1087.8792758207.

The spelling of 1287484800 in words is "one billion, two hundred eighty-seven million, four hundred eighty-four thousand, eight hundred".