256073040 has 120 divisors (see below), whose sum is σ = 910609128. Its totient is φ = 64266240.

The previous prime is 256073033. The next prime is 256073071. The reversal of 256073040 is 40370652.

It is a happy number.

256073040 is a `hidden beast` number, since 25 + 607 + 30 + 4 + 0 = 666.

256073040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77369616 + 178703424 = 8796^2 + 13368^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 256072995 and 256073013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780 + ... + 22700.

Almost surely, 2^256073040 is an apocalyptic number.

256073040 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 256073040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455304564).

256073040 is an abundant number, since it is smaller than the sum of its proper divisors (654536088).

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

256073040 is a wasteful number, since it uses less digits than its factorization.

256073040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20957 (or 20948 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 256073040 is about 16002.2823372168. The cubic root of 256073040 is about 635.0208024268.

The spelling of 256073040 in words is "two hundred fifty-six million, seventy-three thousand, forty".