256886460 has 144 divisors (see below), whose sum is σ = 847042560. Its totient is φ = 62778240.

The previous prime is 256886459. The next prime is 256886501. The reversal of 256886460 is 64688652.

256886460 is a `hidden beast` number, since 2 + 568 + 86 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 104809 + ... + 107231.

It is an arithmetic number, because the mean of its divisors is an integer number (5882240).

Almost surely, 2^256886460 is an apocalyptic number.

256886460 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 256886460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423521280).

256886460 is an abundant number, since it is smaller than the sum of its proper divisors (590156100).

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

256886460 is a wasteful number, since it uses less digits than its factorization.

256886460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2483 counting only the distinct ones).

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

The square root of 256886460 is about 16027.6779353717. The cubic root of 256886460 is about 635.6924762238.

The spelling of 256886460 in words is "two hundred fifty-six million, eight hundred eighty-six thousand, four hundred sixty".