256445424 has 60 divisors (see below), whose sum is σ = 721773000. Its totient is φ = 84995712.

The previous prime is 256445419. The next prime is 256445437. The reversal of 256445424 is 424544652.

256445424 is a `hidden beast` number, since 2 + 5 + 644 + 5 + 4 + 2 + 4 = 666.

256445424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20802 + ... + 30750.

It is an arithmetic number, because the mean of its divisors is an integer number (12029550).

Almost surely, 2^256445424 is an apocalyptic number.

256445424 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 256445424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360886500).

256445424 is an abundant number, since it is smaller than the sum of its proper divisors (465327576).

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

256445424 is a wasteful number, since it uses less digits than its factorization.

256445424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142 (or 10133 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 256445424 is about 16013.9134504967. The cubic root of 256445424 is about 635.3284712239.

The spelling of 256445424 in words is "two hundred fifty-six million, four hundred forty-five thousand, four hundred twenty-four".