256826240 has 96 divisors (see below), whose sum is σ = 673316280. Its totient is φ = 92902400.

The previous prime is 256826239. The next prime is 256826243. The reversal of 256826240 is 42628652.

It is a self number, because there is not a number n which added to its sum of digits gives 256826240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256826243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344545 + ... + 1344735.

Almost surely, 2^256826240 is an apocalyptic number.

256826240 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 256826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336658140).

256826240 is an abundant number, since it is smaller than the sum of its proper divisors (416490040).

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

256826240 is an equidigital number, since it uses as much as digits as its factorization.

256826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 256826240 is about 16025.7992000399. The cubic root of 256826240 is about 635.6427987740.

The spelling of 256826240 in words is "two hundred fifty-six million, eight hundred twenty-six thousand, two hundred forty".