256041720 has 384 divisors, whose sum is σ = 990662400. Its totient is φ = 56678400.

The previous prime is 256041683. The next prime is 256041787. The reversal of 256041720 is 27140652.

256041720 is a `hidden beast` number, since 25 + 604 + 17 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3084799 + ... + 3084881.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^256041720 is an apocalyptic number.

256041720 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 256041720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

256041720 is an abundant number, since it is smaller than the sum of its proper divisors (734620680).

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

256041720 is a wasteful number, since it uses less digits than its factorization.

256041720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 256041720 is about 16001.3036968867. The cubic root of 256041720 is about 634.9949118157.

The spelling of 256041720 in words is "two hundred fifty-six million, forty-one thousand, seven hundred twenty".