1256464000 has 256 divisors, whose sum is σ = 3494275200. Its totient is φ = 449152000.

The previous prime is 1256463991. The next prime is 1256464003. The reversal of 1256464000 is 4646521.

It is a self number, because there is not a number n which added to its sum of digits gives 1256464000.

It is not an unprimeable number, because it can be changed into a prime (1256464003) 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, 21295971 + ... + 21296029.

Almost surely, 2^1256464000 is an apocalyptic number.

1256464000 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 1256464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747137600).

1256464000 is an abundant number, since it is smaller than the sum of its proper divisors (2237811200).

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

1256464000 is an frugal number, since it uses more digits than its factorization.

1256464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1256464000 is about 35446.6359475762. The cubic root of 1256464000 is about 1079.0709889353.

The spelling of 1256464000 in words is "one billion, two hundred fifty-six million, four hundred sixty-four thousand".