256834368 has 224 divisors, whose sum is σ = 914400000. Its totient is φ = 69009408.

The previous prime is 256834363. The next prime is 256834387. The reversal of 256834368 is 863438652.

It is a happy number.

256834368 is a `hidden beast` number, since 256 + 8 + 34 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256834363) 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, 205008 + ... + 206256.

Almost surely, 2^256834368 is an apocalyptic number.

256834368 is a gapful number since it is divisible by the number (28) 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 256834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457200000).

256834368 is an abundant number, since it is smaller than the sum of its proper divisors (657565632).

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

256834368 is a wasteful number, since it uses less digits than its factorization.

256834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1278 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 256834368 is about 16026.0527891306. The cubic root of 256834368 is about 635.6495042806.

The spelling of 256834368 in words is "two hundred fifty-six million, eight hundred thirty-four thousand, three hundred sixty-eight".