256697424 has 120 divisors (see below), whose sum is σ = 753410112. Its totient is φ = 84602880.

The previous prime is 256697423. The next prime is 256697431. The reversal of 256697424 is 424796652.

It is a self number, because there is not a number n which added to its sum of digits gives 256697424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256697423) 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, 400144 + ... + 400784.

Almost surely, 2^256697424 is an apocalyptic number.

256697424 is a gapful number since it is divisible by the number (24) 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 256697424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376705056).

256697424 is an abundant number, since it is smaller than the sum of its proper divisors (496712688).

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

256697424 is a wasteful number, since it uses less digits than its factorization.

256697424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 749 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 256697424 is about 16021.7796764280. The cubic root of 256697424 is about 635.5365081600.

The spelling of 256697424 in words is "two hundred fifty-six million, six hundred ninety-seven thousand, four hundred twenty-four".