256069764 has 144 divisors (see below), whose sum is σ = 730154880. Its totient is φ = 75271680.

The previous prime is 256069763. The next prime is 256069769. The reversal of 256069764 is 467960652.

256069764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (256069763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644814 + ... + 645210.

It is an arithmetic number, because the mean of its divisors is an integer number (5070520).

Almost surely, 2^256069764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256069764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365077440).

256069764 is an abundant number, since it is smaller than the sum of its proper divisors (474085116).

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

256069764 is a wasteful number, since it uses less digits than its factorization.

256069764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 256069764 is about 16002.1799764907. The cubic root of 256069764 is about 635.0180944272.

The spelling of 256069764 in words is "two hundred fifty-six million, sixty-nine thousand, seven hundred sixty-four".