256969080 has 96 divisors (see below), whose sum is σ = 837167760. Its totient is φ = 68359680.

The previous prime is 256969061. The next prime is 256969081. The reversal of 256969080 is 80969652.

256969080 is a `hidden beast` number, since 2 + 569 + 6 + 9 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256969081) 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 23 ways as a sum of consecutive naturals, for example, 248244 + ... + 249276.

Almost surely, 2^256969080 is an apocalyptic number.

256969080 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 256969080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418583880).

256969080 is an abundant number, since it is smaller than the sum of its proper divisors (580198680).

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

256969080 is a wasteful number, since it uses less digits than its factorization.

256969080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 256969080 is about 16030.2551445696. The cubic root of 256969080 is about 635.7606195361.

The spelling of 256969080 in words is "two hundred fifty-six million, nine hundred sixty-nine thousand, eighty".