256179456 has 144 divisors (see below), whose sum is σ = 816128320. Its totient is φ = 78796800.

The previous prime is 256179449. The next prime is 256179457. The reversal of 256179456 is 654971652.

256179456 is a `hidden beast` number, since 25 + 6 + 179 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256179457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88431 + ... + 91281.

Almost surely, 2^256179456 is an apocalyptic number.

256179456 is a gapful number since it is divisible by the number (26) 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 256179456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408064160).

256179456 is an abundant number, since it is smaller than the sum of its proper divisors (559948864).

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

256179456 is a wasteful number, since it uses less digits than its factorization.

256179456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2869 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 256179456 is about 16005.6070175423. The cubic root of 256179456 is about 635.1087552169.

The spelling of 256179456 in words is "two hundred fifty-six million, one hundred seventy-nine thousand, four hundred fifty-six".