1288400 has 30 divisors (see below), whose sum is σ = 3096342. Its totient is φ = 515200.

The previous prime is 1288393. The next prime is 1288421. The reversal of 1288400 is 48821.

It can be written as a sum of positive squares in 3 ways, for example, as 190096 + 1098304 = 436^2 + 1048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1211 + ... + 2010.

2^1288400 is an apocalyptic number.

1288400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288400 is an abundant number, since it is smaller than the sum of its proper divisors (1807942).

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

1288400 is a wasteful number, since it uses less digits than its factorization.

1288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1288400 is about 1135.0770898930. The cubic root of 1288400 is about 108.8136985347.

The spelling of 1288400 in words is "one million, two hundred eighty-eight thousand, four hundred".