1290560256 has 288 divisors, whose sum is σ = 4159948800. Its totient is φ = 393154560.

The previous prime is 1290560203. The next prime is 1290560261. The reversal of 1290560256 is 6520650921.

1290560256 is a `hidden beast` number, since 1 + 2 + 90 + 560 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1290560256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071010 + ... + 4071326.

Almost surely, 2^1290560256 is an apocalyptic number.

1290560256 is a gapful number since it is divisible by the number (16) 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 1290560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079974400).

1290560256 is an abundant number, since it is smaller than the sum of its proper divisors (2869388544).

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

1290560256 is a wasteful number, since it uses less digits than its factorization.

1290560256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1290560256 is about 35924.3685539496. The cubic root of 1290560256 is about 1088.7448043205.

The spelling of 1290560256 in words is "one billion, two hundred ninety million, five hundred sixty thousand, two hundred fifty-six".