256477340 has 96 divisors (see below), whose sum is σ = 642485760. Its totient is φ = 84167424.

The previous prime is 256477339. The next prime is 256477349. The reversal of 256477340 is 43774652.

It is a junction number, because it is equal to n+sod(n) for n = 256477294 and 256477303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256477349) 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 31 ways as a sum of consecutive naturals, for example, 346691 + ... + 347429.

It is an arithmetic number, because the mean of its divisors is an integer number (6692560).

Almost surely, 2^256477340 is an apocalyptic number.

256477340 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 256477340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321242880).

256477340 is an abundant number, since it is smaller than the sum of its proper divisors (386008420).

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

256477340 is a wasteful number, since it uses less digits than its factorization.

256477340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The square root of 256477340 is about 16014.9099279390. The cubic root of 256477340 is about 635.3548268022.

The spelling of 256477340 in words is "two hundred fifty-six million, four hundred seventy-seven thousand, three hundred forty".