1256410560 has 224 divisors, whose sum is σ = 4133892672. Its totient is φ = 323092480.

The previous prime is 1256410559. The next prime is 1256410567. The reversal of 1256410560 is 650146521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256410567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5392204 + ... + 5392436.

It is an arithmetic number, because the mean of its divisors is an integer number (18454878).

Almost surely, 2^1256410560 is an apocalyptic number.

1256410560 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 1256410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066946336).

1256410560 is an abundant number, since it is smaller than the sum of its proper divisors (2877482112).

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

1256410560 is a wasteful number, since it uses less digits than its factorization.

1256410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1256410560 is about 35445.8821303688. The cubic root of 1256410560 is about 1079.0556903483.

The spelling of 1256410560 in words is "one billion, two hundred fifty-six million, four hundred ten thousand, five hundred sixty".