256954080 has 96 divisors (see below), whose sum is σ = 817133184. Its totient is φ = 67867136.

The previous prime is 256954069. The next prime is 256954127. The reversal of 256954080 is 80459652.

256954080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48859 + ... + 53861.

It is an arithmetic number, because the mean of its divisors is an integer number (8511804).

Almost surely, 2^256954080 is an apocalyptic number.

256954080 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 256954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408566592).

256954080 is an abundant number, since it is smaller than the sum of its proper divisors (560179104).

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

256954080 is a wasteful number, since it uses less digits than its factorization.

256954080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 256954080 is about 16029.7872724500. The cubic root of 256954080 is about 635.7482489234.

The spelling of 256954080 in words is "two hundred fifty-six million, nine hundred fifty-four thousand, eighty".