256046080 has 88 divisors (see below), whose sum is σ = 629034912. Its totient is φ = 99950592.

The previous prime is 256046069. The next prime is 256046099. The reversal of 256046080 is 80640652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219579 + ... + 220741.

It is an arithmetic number, because the mean of its divisors is an integer number (7148124).

Almost surely, 2^256046080 is an apocalyptic number.

256046080 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 256046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314517456).

256046080 is an abundant number, since it is smaller than the sum of its proper divisors (372988832).

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

256046080 is a wasteful number, since it uses less digits than its factorization.

256046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 256046080 is about 16001.4399352058. The cubic root of 256046080 is about 634.9985161269.

It can be divided in two parts, 25604 and 6080, that added together give a square (31684 = 178²).

The spelling of 256046080 in words is "two hundred fifty-six million, forty-six thousand, eighty".