256539360 has 288 divisors, whose sum is σ = 1016741376. Its totient is φ = 53222400.

The previous prime is 256539341. The next prime is 256539377. The reversal of 256539360 is 63935652.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406245 + ... + 406875.

It is an arithmetic number, because the mean of its divisors is an integer number (3530352).

Almost surely, 2^256539360 is an apocalyptic number.

256539360 is a gapful number since it is divisible by the number (20) 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 256539360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508370688).

256539360 is an abundant number, since it is smaller than the sum of its proper divisors (760202016).

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

256539360 is a wasteful number, since it uses less digits than its factorization.

256539360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 39.

The square root of 256539360 is about 16016.8461314954. The cubic root of 256539360 is about 635.4060353944.

The spelling of 256539360 in words is "two hundred fifty-six million, five hundred thirty-nine thousand, three hundred sixty".