1288254240 has 768 divisors, whose sum is σ = 5791564800. Its totient is φ = 260112384.

The previous prime is 1288254223. The next prime is 1288254299. The reversal of 1288254240 is 424528821.

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

It is a junction number, because it is equal to n+sod(n) for n = 1288254195 and 1288254204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11400424 + ... + 11400536.

It is an arithmetic number, because the mean of its divisors is an integer number (7541100).

Almost surely, 2^1288254240 is an apocalyptic number.

1288254240 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 1288254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895782400).

1288254240 is an abundant number, since it is smaller than the sum of its proper divisors (4503310560).

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

1288254240 is a wasteful number, since it uses less digits than its factorization.

1288254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1288254240 is about 35892.2587753961. The cubic root of 1288254240 is about 1088.0959492227.

The spelling of 1288254240 in words is "one billion, two hundred eighty-eight million, two hundred fifty-four thousand, two hundred forty".