256348440 has 96 divisors (see below), whose sum is σ = 882161280. Its totient is φ = 64336896.

The previous prime is 256348427. The next prime is 256348447. The reversal of 256348440 is 44843652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 256348395 and 256348404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256348447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14824 + ... + 27063.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2^256348440 is an apocalyptic number.

256348440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256348440 is an abundant number, since it is smaller than the sum of its proper divisors (625812840).

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

256348440 is a wasteful number, since it uses less digits than its factorization.

256348440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41921 (or 41914 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 256348440 is about 16010.8850473670. The cubic root of 256348440 is about 635.2483704047.

The spelling of 256348440 in words is "two hundred fifty-six million, three hundred forty-eight thousand, four hundred forty".