256942080 has 336 divisors, whose sum is σ = 966072744. Its totient is φ = 62914560.

The previous prime is 256942079. The next prime is 256942087. The reversal of 256942080 is 80249652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 175509504 + 81432576 = 13248^2 + 9024^2 .

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (256942087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6266860 + ... + 6266900.

Almost surely, 2^256942080 is an apocalyptic number.

256942080 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 256942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483036372).

256942080 is an abundant number, since it is smaller than the sum of its proper divisors (709130664).

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

256942080 is a wasteful number, since it uses less digits than its factorization.

256942080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 256942080 is about 16029.4129649217. The cubic root of 256942080 is about 635.7383520867.

The spelling of 256942080 in words is "two hundred fifty-six million, nine hundred forty-two thousand, eighty".