256967424 has 288 divisors, whose sum is σ = 894781440. Its totient is φ = 71221248.

The previous prime is 256967423. The next prime is 256967429. The reversal of 256967424 is 424769652.

256967424 is a `hidden beast` number, since 2 + 569 + 67 + 4 + 24 = 666.

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

Its product of digits (725760) is a multiple of the sum of its prime factors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 256967424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256967423) 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, 2273992 + ... + 2274104.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^256967424 is an apocalyptic number.

256967424 is a gapful number since it is divisible by the number (24) 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 256967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447390720).

256967424 is an abundant number, since it is smaller than the sum of its proper divisors (637814016).

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

256967424 is a wasteful number, since it uses less digits than its factorization.

256967424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 256967424 is about 16030.2034921582. The cubic root of 256967424 is about 635.7592538441.

The spelling of 256967424 in words is "two hundred fifty-six million, nine hundred sixty-seven thousand, four hundred twenty-four".