256769280 has 216 divisors, whose sum is σ = 918328320. Its totient is φ = 66170880.

The previous prime is 256769269. The next prime is 256769329. The reversal of 256769280 is 82967652.

256769280 is a `hidden beast` number, since 2 + 567 + 6 + 9 + 2 + 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356761 + ... + 357479.

It is an arithmetic number, because the mean of its divisors is an integer number (4251520).

Almost surely, 2^256769280 is an apocalyptic number.

256769280 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 256769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459164160).

256769280 is an abundant number, since it is smaller than the sum of its proper divisors (661559040).

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

256769280 is a wasteful number, since it uses less digits than its factorization.

256769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 256769280 is about 16024.0219670344. The cubic root of 256769280 is about 635.5958034582.

It can be divided in two parts, 256769 and 280, that added together give a square (257049 = 507²).

The spelling of 256769280 in words is "two hundred fifty-six million, seven hundred sixty-nine thousand, two hundred eighty".