256456064 has 48 divisors (see below), whose sum is σ = 522585780. Its totient is φ = 125361408.

The previous prime is 256456063. The next prime is 256456093. The reversal of 256456064 is 460654652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256456063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282299 + ... + 283205.

Almost surely, 2^256456064 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 256456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261292890).

256456064 is an abundant number, since it is smaller than the sum of its proper divisors (266129716).

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

256456064 is an frugal number, since it uses more digits than its factorization.

256456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 256456064 is about 16014.2456581632. The cubic root of 256456064 is about 635.3372577606.

The spelling of 256456064 in words is "two hundred fifty-six million, four hundred fifty-six thousand, sixty-four".