1260485856 has 288 divisors, whose sum is σ = 4279661568. Its totient is φ = 344448000.

The previous prime is 1260485851. The next prime is 1260485867. The reversal of 1260485856 is 6585840621.

1260485856 is a `hidden beast` number, since 1 + 2 + 60 + 4 + 8 + 585 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260485851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5021731 + ... + 5021981.

It is an arithmetic number, because the mean of its divisors is an integer number (14859936).

Almost surely, 2^1260485856 is an apocalyptic number.

1260485856 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 1260485856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139830784).

1260485856 is an abundant number, since it is smaller than the sum of its proper divisors (3019175712).

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

1260485856 is a wasteful number, since it uses less digits than its factorization.

1260485856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1260485856 is about 35503.3217600832. The cubic root of 1260485856 is about 1080.2211069933.

The spelling of 1260485856 in words is "one billion, two hundred sixty million, four hundred eighty-five thousand, eight hundred fifty-six".