256879350 has 480 divisors, whose sum is σ = 952814016. Its totient is φ = 49766400.

The previous prime is 256879331. The next prime is 256879379. The reversal of 256879350 is 53978652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 256879296 and 256879305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6265330 + ... + 6265370.

Almost surely, 2^256879350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256879350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476407008).

256879350 is an abundant number, since it is smaller than the sum of its proper divisors (695934666).

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

256879350 is a wasteful number, since it uses less digits than its factorization.

256879350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 256879350 is about 16027.4561300289. The cubic root of 256879350 is about 635.6866113562.

It can be divided in two parts, 2568 and 79350, that added together give a palindrome (81918).

The spelling of 256879350 in words is "two hundred fifty-six million, eight hundred seventy-nine thousand, three hundred fifty".