256292064 has 144 divisors (see below), whose sum is σ = 876919680. Its totient is φ = 69361920.

The previous prime is 256292063. The next prime is 256292077. The reversal of 256292064 is 460292652.

256292064 is a `hidden beast` number, since 2 + 5 + 629 + 20 + 6 + 4 = 666.

256292064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256292063) 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, 34959 + ... + 41649.

It is an arithmetic number, because the mean of its divisors is an integer number (6089720).

Almost surely, 2^256292064 is an apocalyptic number.

256292064 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 256292064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438459840).

256292064 is an abundant number, since it is smaller than the sum of its proper divisors (620627616).

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

256292064 is a wasteful number, since it uses less digits than its factorization.

256292064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6733 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 256292064 is about 16009.1243982924. The cubic root of 256292064 is about 635.2017991730.

The spelling of 256292064 in words is "two hundred fifty-six million, two hundred ninety-two thousand, sixty-four".