256504320 has 200 divisors, whose sum is σ = 919460124. Its totient is φ = 68345856.

The previous prime is 256504309. The next prime is 256504321. The reversal of 256504320 is 23405652.

256504320 is a `hidden beast` number, since 2 + 5 + 650 + 4 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 255488256 + 1016064 = 15984^2 + 1008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (256504321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206742 + ... + 207978.

Almost surely, 2^256504320 is an apocalyptic number.

256504320 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 256504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459730062).

256504320 is an abundant number, since it is smaller than the sum of its proper divisors (662955804).

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

256504320 is an equidigital number, since it uses as much as digits as its factorization.

256504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 256504320 is about 16015.7522458360. The cubic root of 256504320 is about 635.3771046275.

Adding to 256504320 its reverse (23405652), we get a palindrome (279909972).

The spelling of 256504320 in words is "two hundred fifty-six million, five hundred four thousand, three hundred twenty".