1256270400 has 756 divisors, whose sum is σ = 5663484736. Its totient is φ = 258508800.

The previous prime is 1256270399. The next prime is 1256270461. The reversal of 1256270400 is 40726521.

1256270400 is a `hidden beast` number, since 1 + 256 + 2 + 7 + 0 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12196749 + ... + 12196851.

Almost surely, 2^1256270400 is an apocalyptic number.

1256270400 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 1256270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831742368).

1256270400 is an abundant number, since it is smaller than the sum of its proper divisors (4407214336).

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

1256270400 is a wasteful number, since it uses less digits than its factorization.

1256270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1256270400 is about 35443.9049767375. The cubic root of 1256270400 is about 1079.0155638497.

Adding to 1256270400 its reverse (40726521), we get a palindrome (1296996921).

The spelling of 1256270400 in words is "one billion, two hundred fifty-six million, two hundred seventy thousand, four hundred".