256079040 has 224 divisors, whose sum is σ = 948049920. Its totient is φ = 57348096.

The previous prime is 256079039. The next prime is 256079051. The reversal of 256079040 is 40970652.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 256078992 and 256079010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355801 + ... + 356519.

Almost surely, 2^256079040 is an apocalyptic number.

256079040 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 256079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474024960).

256079040 is an abundant number, since it is smaller than the sum of its proper divisors (691970880).

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

256079040 is a wasteful number, since it uses less digits than its factorization.

256079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 256079040 is about 16002.4698093763. The cubic root of 256079040 is about 635.0257620730.

The spelling of 256079040 in words is "two hundred fifty-six million, seventy-nine thousand, forty".