1288480 has 24 divisors (see below), whose sum is σ = 3044412. Its totient is φ = 515328.

The previous prime is 1288439. The next prime is 1288487. The reversal of 1288480 is 848821.

It can be written as a sum of positive squares in 2 ways, for example, as 1281424 + 7056 = 1132^2 + 84^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1288487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3867 + ... + 4186.

2^1288480 is an apocalyptic number.

1288480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288480 is an abundant number, since it is smaller than the sum of its proper divisors (1755932).

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

1288480 is an equidigital number, since it uses as much as digits as its factorization.

1288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8068 (or 8060 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1288480 is about 1135.1123292432. The cubic root of 1288480 is about 108.8159506603.

The spelling of 1288480 in words is "one million, two hundred eighty-eight thousand, four hundred eighty".