256343400 has 192 divisors, whose sum is σ = 907531200. Its totient is φ = 66458880.

The previous prime is 256343393. The next prime is 256343401. The reversal of 256343400 is 4343652.

256343400 is a `hidden beast` number, since 25 + 634 + 3 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (256343401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199159 + ... + 200441.

It is an arithmetic number, because the mean of its divisors is an integer number (4726725).

Almost surely, 2^256343400 is an apocalyptic number.

256343400 is a gapful number since it is divisible by the number (20) 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 256343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453765600).

256343400 is an abundant number, since it is smaller than the sum of its proper divisors (651187800).

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

256343400 is a wasteful number, since it uses less digits than its factorization.

256343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 256343400 is about 16010.7276536702. The cubic root of 256343400 is about 635.2442072264.

The spelling of 256343400 in words is "two hundred fifty-six million, three hundred forty-three thousand, four hundred".