256968404 has 48 divisors (see below), whose sum is σ = 575836800. Its totient is φ = 97407360.

The previous prime is 256968403. The next prime is 256968409. The reversal of 256968404 is 404869652.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256968403) 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 15 ways as a sum of consecutive naturals, for example, 122 + ... + 22670.

It is an arithmetic number, because the mean of its divisors is an integer number (11996600).

Almost surely, 2^256968404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256968404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287918400).

256968404 is an abundant number, since it is smaller than the sum of its proper divisors (318868396).

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

256968404 is a wasteful number, since it uses less digits than its factorization.

256968404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22608 (or 22606 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 256968404 is about 16030.2340594266. The cubic root of 256968404 is about 635.7600620441.

The spelling of 256968404 in words is "two hundred fifty-six million, nine hundred sixty-eight thousand, four hundred four".