256158720 has 352 divisors, whose sum is σ = 972734400. Its totient is φ = 63700992.

The previous prime is 256158701. The next prime is 256158743. The reversal of 256158720 is 27851652.

It is a happy number.

256158720 is a `hidden beast` number, since 2 + 56 + 1 + 587 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350026 + ... + 2350134.

It is an arithmetic number, because the mean of its divisors is an integer number (2763450).

Almost surely, 2^256158720 is an apocalyptic number.

256158720 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 256158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486367200).

256158720 is an abundant number, since it is smaller than the sum of its proper divisors (716575680).

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

256158720 is a wasteful number, since it uses less digits than its factorization.

256158720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 256158720 is about 16004.9592314382. The cubic root of 256158720 is about 635.0916188304.

The spelling of 256158720 in words is "two hundred fifty-six million, one hundred fifty-eight thousand, seven hundred twenty".