1256284800 has 288 divisors, whose sum is σ = 4526181660. Its totient is φ = 331776000.

The previous prime is 1256284759. The next prime is 1256284801. The reversal of 1256284800 is 84826521.

1256284800 is a `hidden beast` number, since 1 + 25 + 628 + 4 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 223562304 + 1032722496 = 14952^2 + 32136^2 .

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

It is a super-2 number, since 2×1256284800² = 3156502997422080000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256284801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5212680 + ... + 5212920.

Almost surely, 2^1256284800 is an apocalyptic number.

1256284800 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 1256284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263090830).

1256284800 is an abundant number, since it is smaller than the sum of its proper divisors (3269896860).

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

1256284800 is a wasteful number, since it uses less digits than its factorization.

1256284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1256284800 is about 35444.1081140434. The cubic root of 1256284800 is about 1079.0196865728.

The spelling of 1256284800 in words is "one billion, two hundred fifty-six million, two hundred eighty-four thousand, eight hundred".