1287426400 has 72 divisors (see below), whose sum is σ = 3384720864. Its totient is φ = 475353600.

The previous prime is 1287426391. The next prime is 1287426451. The reversal of 1287426400 is 46247821.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 51496 + ... + 72295.

It is an arithmetic number, because the mean of its divisors is an integer number (47010012).

Almost surely, 2^1287426400 is an apocalyptic number.

1287426400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1287426400 is an abundant number, since it is smaller than the sum of its proper divisors (2097294464).

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

1287426400 is a wasteful number, since it uses less digits than its factorization.

1287426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123824 (or 123811 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 1287426400 is about 35880.7246303639. The cubic root of 1287426400 is about 1087.8628269248.

The spelling of 1287426400 in words is "one billion, two hundred eighty-seven million, four hundred twenty-six thousand, four hundred".