256765824 has 192 divisors, whose sum is σ = 894572640. Its totient is φ = 69009408.

The previous prime is 256765823. The next prime is 256765853. The reversal of 256765824 is 428567652.

256765824 is a `hidden beast` number, since 2 + 5 + 67 + 6 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 256765824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256765823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136152 + ... + 138024.

Almost surely, 2^256765824 is an apocalyptic number.

256765824 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 256765824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447286320).

256765824 is an abundant number, since it is smaller than the sum of its proper divisors (637806816).

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

256765824 is a wasteful number, since it uses less digits than its factorization.

256765824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1902 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 256765824 is about 16023.9141285767. The cubic root of 256765824 is about 635.5929518333.

The spelling of 256765824 in words is "two hundred fifty-six million, seven hundred sixty-five thousand, eight hundred twenty-four".