256864608 has 504 divisors, whose sum is σ = 1025723664. Its totient is φ = 61585920.

The previous prime is 256864579. The next prime is 256864613. The reversal of 256864608 is 806468652.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×256864608³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 19758810 + ... + 19758822.

It is an arithmetic number, because the mean of its divisors is an integer number (2035166).

Almost surely, 2^256864608 is an apocalyptic number.

256864608 is a gapful number since it is divisible by the number (28) 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 256864608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512861832).

256864608 is an abundant number, since it is smaller than the sum of its proper divisors (768859056).

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

256864608 is a wasteful number, since it uses less digits than its factorization.

256864608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 256864608 is about 16026.9962251197. The cubic root of 256864608 is about 635.6744506910.

It can be divided in two parts, 2568 and 64608, that added together give a palindrome (67176).

The spelling of 256864608 in words is "two hundred fifty-six million, eight hundred sixty-four thousand, six hundred eight".